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Mathematics for Computer Graphics
by John VinceJohn Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded fifth edition. The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, matrix algebra, transforms, interpolation, curves and patches, analytic geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new topic of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples. Mathematics for Computer Graphics covers all of the key areas of the subject, including: #65533; Number sets #65533; Algebra #65533; Trigonometry #65533; Coordinate systems #65533; Determinants#65533; Vectors #65533; Quaternions #65533; Matrix algebra #65533; Geometric transforms #65533; Interpolation #65533; Curves and surfaces #65533; Analytic geometry #65533; Barycentric coordinates #65533; Geometric algebra #65533; Differential calculus #65533; Integral calculus This fifth edition contains over 120 worked examples and over 320 colour illustrations, which are central to the author's descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics, giving a fascinating insight into the design of computer graphics software and setting the scene for further reading of more advanced books and technical research papers.
Mathematics for Computer Graphics
by John A. VinceJohn Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD, and other areas of computer graphics. Covering all the mathematical techniques required to resolve geometric problems and design computer programs for computer graphic applications, each chapter explores a specific mathematical topic prior to moving forward into the more advanced areas of matrix transforms, 3D curves and surface patches. Problem-solving techniques using vector analysis and geometric algebra are also discussed. All the key areas are covered including: Numbers, Algebra, Trigonometry, Coordinate geometry, Transforms, Vectors, Curves and surfaces, Barycentric coordinates, Analytic geometry. Plus - and unusually in a student textbook - a chapter on geometric algebra is included.
Mathematics for Game Programming and Computer Graphics: Explore the essential mathematics for creating, rendering, and manipulating 3D virtual environments
by Penny de BylA comprehensive guide to learning fundamental 3D mathematical principles used in games and computer graphics by exampleKey FeaturesGet acquainted with the essential mathematics needed to describe, simulate, and render 3D creationsConstruct and manipulate 3D animated environments using Python, Pygame, and PyOpenGLDevelop vertex and fragment shaders in OpenGL shader language to speed up renderingBook DescriptionMathematics is an essential skill when it comes to graphics and game development, particularly if you want to understand the generation of real-time computer graphics and the manipulation of objects and environments in a detailed way. Python, together with Pygame and PyOpenGL, provides you with the opportunity to explore these features under the hood, revealing how computers generate and manipulate 3D environments.Mathematics for Game Programming and Computer Graphics is an exhaustive guide to getting “back to the basics” of mathematics, using a series of problem-based, practical exercises to explore ideas around drawing graphic lines and shapes, applying vectors and vertices, constructing and rendering meshes, and working with vertex shaders. By leveraging Python, Pygame, and PyOpenGL, you'll be able to create your own mathematics-based engine and API that will be used throughout to build applications.By the end of this graphics focussed book, you'll have gained a thorough understanding of how essential mathematics is for creating, rendering, and manipulating 3D virtual environments and know the secrets behind today's top graphics and game engines.What you will learnGet up and running with Python, Pycharm, Pygame, and PyOpenGLExperiment with different graphics API drawing commandsReview basic trigonometry and how it's important in 3D environmentsApply vectors and matrices to move, orient, and scale 3D objectsRender 3D objects with textures, colors, shading, and lightingWork with vertex shaders for faster GPU-based renderingWho this book is forThis book is for programmers who want to enhance their 3D mathematics skills relating to computer graphics and computer games. Knowledge of high school–level mathematics and a working understanding in an object-orientated language is needed to grasp the contents present in this book.
Mathematics in the Visual Arts
by Ruth Scheps Marie-Christine MaurelArt and science are not separate universes. This book explores this claim by showing how mathematics, geometry and numerical approaches contribute to the construction of works of art. This applies not only to modern visual artists but also to important artists of the past. To illustrate this, this book studies Leonardo da Vinci, who was both an engineer and a painter, and whose paintings can be perfectly modeled using simple geometric curves. The world gains intelligibility through elegant mathematical frameworks – from the projective spaces of painting to the most complex phase spaces of theoretical physics. A living example of this interdisciplinarity would be the sculptures of Jean Letourner, a specialist in both chaos sciences and carving, as evidenced in his stonework. This book also exemplifies the geometry and life of forms through contemporary works of art – including fractal art – which have never before been represented in this type of work.
Mathematics in Twentieth-Century Literature and Art: Content, Form, Meaning
by Robert TubbsChips away at the notion of an accidental relationship between math and art and literature.During the twentieth century, many artists and writers turned to abstract mathematical ideas to help them realize their aesthetic ambitions. Man Ray, Marcel Duchamp, and, perhaps most famously, Piet Mondrian used principles of mathematics in their work. Was it mere coincidence, or were these artists simply following their instincts, which in turn were ruled by mathematical underpinnings, such as optimal solutions for filling a space? If math exists within visual art, can it be found within literary pursuits? In short, just what is the relationship between mathematics and the creative arts?In this provocative, original exploration of mathematical ideas in art and literature, Robert Tubbs argues that the links are much stronger than previously imagined and exceed both coincidence and commonality of purpose. Not only does he argue that mathematical ideas guided the aesthetic visions of many twentieth-century artists and writers, Tubbs further asserts that artists and writers used math in their creative processes even though they seemed to have no affinity for mathematical thinking. In the end, Tubbs makes the case that art can be better appreciated when the math that inspired it is better understood. An insightful tour of the great masters of the last century and an argument that challenges long-held paradigms, Mathematics in Twentieth-Century Literature and Art will appeal to mathematicians, humanists, and artists, as well as instructors teaching the connections among math, literature, and art.
Mathematics in Twentieth-Century Literature & Art: Content, Form, Meaning
by Robert TubbsThe author of What Is a Number? examines the relationship between mathematics and art and literature of the 20th century.During the twentieth century, many artists and writers turned to abstract mathematical ideas to help them realize their aesthetic ambitions. Man Ray, Marcel Duchamp, and, perhaps most famously, Piet Mondrian used principles of mathematics in their work. Was it coincidence, or were these artists following their instincts, which were ruled by mathematical underpinnings, such as optimal solutions for filling a space? If math exists within visual art, can it be found within literary pursuits? In short, just what is the relationship between mathematics and the creative arts?In this exploration of mathematical ideas in art and literature, Robert Tubbs argues that the links are much stronger than previously imagined and exceed both coincidence and commonality of purpose. Not only does he argue that mathematical ideas guided the aesthetic visions of many twentieth-century artists and writers, Tubbs further asserts that artists and writers used math in their creative processes even though they seemed to have no affinity for mathematical thinking.In the end, Tubbs makes the case that art can be better appreciated when the math that inspired it is better understood. An insightful tour of the great masters of the last century and an argument that challenges long-held paradigms, this book will appeal to mathematicians, humanists, and artists, as well as instructors teaching the connections among math, literature, and art.“Though the content of Tubbs’s book is challenging, it is also accessible and should interest many on both sides of the perceived divide between mathematics and the arts.” —Choice
The Mathematics of the Modernist Villa: Architectural Analysis Using Space Syntax And Isovists (Mathematics And The Built Environment Ser. #3)
by Michael J. Ostwald Michael J. DawesThis book presents the first detailed mathematical analysis of the social, cognitive and experiential properties of Modernist domestic architecture.The Modern Movement in architecture, which came to prominence during the first half of the twentieth century, may have been famous for its functional forms and machine-made aesthetic, but it also sought to challenge the way people inhabit, understand and experience space. Ludwig Mies van der Rohe’s buildings were not only minimalist and transparent, they were designed to subvert traditional social hierarchies. Frank Lloyd Wright’s organic Modernism not only attempted to negotiate a more responsive relationship between nature and architecture, but also shape the way people experience space. Richard Neutra’s Californian Modernism is traditionally celebrated for its sleek, geometric forms, but his intention was to use design to support a heightened understanding of context. Glenn Murcutt’s pristine pavilions, seemingly the epitome of regional Modernism, actually raise important questions about the socio-spatial structure of architecture. Rather than focussing on form or style in Modernism, this book examines the spatial, social and experiential properties of thirty-seven designs by Wright, Mies, Neutra and Murcutt. The computational and mathematical methods used for this purpose are drawn from space syntax, isovist geometry and graph theory. The specific issues that are examined include: the sensory and emotional appeal of space and form; shifting social and spatial structures in architectural planning; wayfinding and visual understanding; and the relationship between form and program.
Matinee Melodrama
by Scott HigginsLong before Batman, Flash Gordon, or the Lone Ranger were the stars of their own TV shows, they had dedicated audiences watching their adventures each week. The difference was that this action took place on the big screen, in short adventure serials whose exciting cliffhangers compelled the young audience to return to the theater every seven days. Matinee Melodrama is the first book about the adventure serial as a distinct artform, one that uniquely encouraged audience participation and imaginative play. Media scholar Scott Higgins proposes that the serial's incoherent plotting and reliance on formula, far from being faults, should be understood as some of its most appealing attributes, helping to spawn an active fan culture. Further, he suggests these serials laid the groundwork not only for modern-day cinematic blockbusters like Star Wars and Raiders of the Lost Ark, but also for all kinds of interactive media that combine spectacle, storytelling, and play. As it identifies key elements of the serial form--from stock characters to cliffhangers--Matinee Melodrama delves deeply into questions about the nature of suspense, the aesthetics of action, and the potentials of formulaic narrative. Yet it also provides readers with a loving look at everything from Zorro's Fighting Legion to Daredevils of the Red Circle, conveying exactly why these films continue to thrill and enthrall their fans.
Matisse and Picasso: The Story of Their Rivalry and Friendship
by Jack FlamMatisse and Picasso achieved extraordinary prominence during their lifetimes. They have become cultural icons, standing not only for different kinds of art but also for different ways of living. Matisse, known for his restraint and intense sense of privacy, for his decorum and discretion, created an art that transcended daily life and conveyed a sensuality that inhabited an abstract and ethereal realm of being. In contrast, Picasso became the exemplar of intense emotionality, of theatricality, of art as a kind of autobiographical confession that was often charged with violence and explosive eroticism. In Matisse and Picasso, Jack Flam explores the compelling, competitive, parallel lives of these two artists and their very different attitudes toward the idea of artistic greatness, toward the women they loved, and ultimately toward their confrontations with death.
Matisse on the Loose
by Georgia BraggA kid. A famous painting. A cool moment. A prison sentence?Have you ever done something you shouldn't have? But you're a good person and you don't think that it's going to cause any real harm? But then something bad happens and it turns out that you were wrong? Welcome to Matisse's world. Matisse has finally got the chance to come face to face with the work of his namesake, the great French painter Henri Matisse. The museum where his mom works as head of security is hosting a Matisse exhibit. Matisse thought it would be cool to hang his own artwork--a copy of a famous Matisse painting, Portrait of Pierre--on the museum wall just for a minute. But then a tour group thinks that it's a real Matisse. So now Matisse's painting hangs in a museum--while the priceless original hangs on Matisse's eccentric family's den wall. A sixth grader should not get caught up in a museum heist. But . . . what if he does?From the Hardcover edition.
Matka Lontooseen (Antistress-kirjoja #5)
by Olga Kryuchkova Elena KryuchkovaTämä kirja on omistettu Lontoon kauniin maisemiin. Se sisältää värivalokuvia ja niihin liittyviä kuvauksia sekä mustavalkoisia kuvia. Halutessasi voit ottaa näyttökuvan värittääksesi sen tietokoneella tai värittää tulostetulla paperilla. Värittäessäsi saa ottaa värivalokuvan väriskeemaa tai valita värejä itse. Sen jälkeen voit selailla Lontoon nähtävyysten kuvia internetissä, joka tulee olla mielenkiintoista. Tämä kirja auttaa sinua selviytyä masennuksesta, tehdä luomistyötä, rauhoittua, nauttia piirtämisprosessista ja matkustaa Lontooseen henkisesti sekä ottaa mieleen uusia tietoja kaupungista. Kirjalle ei annettu ikärajoja.
Matrimony, Inc.: From Personal Ads to Swiping Right, A Story of America Looking for Love
by Francesca BeaumanA clever, thoughtful, and funny history that reveals how the Union of states was built on a much more personal union of people. Have you ever used a dating app or website? Then you have more in common than you know with lonely homesteaders in 18th century New England. At once heartwarming and heartbreaking, Matrimony, Inc. reveals the unifying thread that weaves its way through not just marriage and relationships over the centuries, but American social history itself: advertising for love. Amazingly, America&’s first personal ad appeared in the Boston Evening Post as early as 1759. A &“person who flatters himself that he shall not be thought disagreeable&” was in search of a &“young lady, between the age of eighteen and twenty-three, of a middling stature, brown hair, of good Morals…&” As family-arranged marriages fell out of fashion, "Husband Wanted" or "Seeking Wife" ads were soon to be found in every state in the nation. From the woman in a Wisconsin newspaper who wanted &“no brainless dandy or foppish fool&” to the man with a glass eye who placed an ad in the New York Times hoping to meet a woman with a glass eye, the many hundreds of personal ads that author Francesca Beauman has uncovered offer an extraordinary glimpse into the history of our hearts&’ desires, as well as a unique insight into American life as the frontier was settled and the cities grew. Personal ads played a surprisingly vital role in the West: couple by couple, shy smile by shy smile, letter by letter from a dusty, exhausted miner in California to a bored, frustrated seamstress in Ohio. Get ready for a new perspective on the making of modern America, a hundred words of typesetter&’s blurry black ink at a time. &“So anxious are our settlers for wives that they never ask a single lady her age. All they require is teeth,&” declared the Dubuque Iowa News in 1838 in a state where men outnumbered women three to one. While the dating pools of 21st century New York, Chicago or San Francisco might not be quite so dentally-fixated, Matrimony Inc. will put idly swiping right on Tinder into fascinating and vividly fresh historical context. What do women look for in a man? What do men look for in a woman? And how has this changed over the past 250 years?
Matrix and Philosophy: Welcome to the Desert of the Real
by William IrwinThe thought-provoking essays discuss different facets of the primary philosophical puzzle of The Matrix: Can we be sure the world is really there, and if not, what should we do about it? Other chapters address issues of religion, lifestyle, pop culture, the Zeitgeist, the nature of mind and matter, and the reality of fiction.
The Matrix of Visual Culture: Working with Deleuze in Film Theory (Cultural Memory in the Present)
by Patricia PistersThis book explores Gilles Deleuze's contribution to film theory. According to Deleuze, we have come to live in a universe that could be described as metacinematic. His conception of images implies a new kind of camera consciousness, one that determines our perceptions and sense of selves: aspects of our subjectivities are formed in, for instance, action-images, affection-images and time-images. We live in a matrix of visual culture that is always moving and changing. Each image is always connected to an assemblage of affects and forces. This book presents a model, as well as many concrete examples, of how to work with Deleuze in film theory. It asks questions about the universe as metacinema, subjectivity, violence, feminism, monstrosity, and music. Among the contemporary films it discusses within a Deleuzian framework are Strange Days, Fight Club, and Dancer in the Dark.
Matrix Transforms for Computer Games and Animation
by John VinceMatrix transforms are ubiquitous within the world of computer graphics, where they have become an invaluable tool in a programmer's toolkit for solving everything from 2D image scaling to 3D rotation about an arbitrary axis. Virtually every software system and hardware graphics processor uses matrices to undertake operations such as scaling, translation, reflection and rotation. Nevertheless, for some newcomers to the world of computer games and animation, matrix notation can appear obscure and challenging. Matrices and determinants were originally used to solve groups of simultaneous linear equations, and were subsequently embraced by the computer graphics community to describe the geometric operations for manipulating two- and three-dimensional structures. Consequently, to place matrix notation within an historical context, the author provides readers with some useful background to their development, alongside determinants. Although it is assumed that the reader is familiar with everyday algebra and the solution of simultaneous linear equations, Matrix Transforms for Computer Games and Animation does not expect any prior knowledge of matrix notation. It includes chapters on matrix notation, determinants, matrices, 2D transforms, 3D transforms and quaternions, and includes many worked examples to illustrate their practical use.
The Matrix Trilogy (SparkNotes Film Guide)
by SparkNotesThe Matrix Trilogy (SparkNotes Film Guide) Making the reading experience fun! SparkNotes Film Guides are one-stop guides to great works of film–masterpieces that are the foundations of filmmaking and film studies. Inside each guide you&’ll find thorough, insightful overviews of films from a variety of genres, styles, and time periods. Each film guide contains:Information about the director and the context in which the film was made Thoughtful analysis of major characters Details about themes, motifs, and symbols Explanations of the most important lines of dialogue In-depth discussions about what makes a film so remarkable SparkNotes Film Guides are an invaluable resource for students or anyone who wants to gain a deeper understanding of the great films they know and love.
Matrixial Subjectivity, Aesthetics, Ethics: Volume 1 1990–2000 (Studies in the Psychosocial)
by Bracha L. EttingerThis book is the first of two volumes that, together, present for the first time a comprehensive collection of three decades of the theoretical writings of artist and theorist Bracha L Ettinger. Edited and introduced by Griselda Pollock they provide a systematic anthology of Ettinger’s path-breaking and influential concept of Matrixial subjectivity-as-encounter and jointness-in-difference, and chart her radical intervention in aesthetics, ethics and theories of subjectivity far beyond classical feminist and current gender/queer theory.This first volume includes the writings in which Ettinger elaborates her original concepts of Matrixial space-time and metramorphosis, fascinance, wit(h)nessing, resonance, transcryptum, com-passion, self-fragilization and resistance, co-emergence and copoiesis transform theories of the subject, Eros, alliance and love, sexual difference, alterity, relationality, trauma and violence. Her critical dialogue with theorists including Levinas, Lacan, Lyotard and Deleuze & Guattari, Butler, Cavarero and Irigaray is evident here.A leading authority on Matrixial theory, Griselda Pollock provides explanatory prefaces to each chapter and a lengthy introduction that situates Ettinger’s work in relation to socio-psychoanalytical theory and practice and current social and philosophical debates. Ettinger’s interlacing of psychoanalysis, ethics, and aesthetics can be seen here to address some of the deepest challenges of our social, cultural and political existence today.
Matt on Brexit
by Matt Pritchett'However bad the day's news, there'll still be a Matt cartoon the morning after, and we'll still laugh - he's a genius!' Jeremy Vine'Always topical and achingly funny' Jilly CooperFrom the (some say ill-judged) Referendum to the Remain and Leave campaigns with all their twists and turns ... From a vote of No Confidence to the ongoing confusion ... Matt hits the spot every time. Brilliantly entertaining, award-winning Matt can lighten even the most troubling times, and find the perfect cartoon to make the nation smile.
Matt on Brexit
by Matt Pritchett'However bad the day's news, there'll still be a Matt cartoon the morning after, and we'll still laugh - he's a genius!' Jeremy VineFrom the (some say ill-judged) Referendum to the Remain and Leave campaigns with all their twists and turns ... From a vote of No Confidence to the ongoing confusion ... Matt hits the spot every time. Brilliantly entertaining, award-winning Matt can lighten even the most troubling times, and find the perfect cartoon to make the nation smile.
Matter: Material Processes in Architectural Production
by Michael Meredith Gail Peter BordenBeginning with material, this book revolves around physical material making and design decisions that emerge from material interaction. Combining essays from both practice and academia, this book presents some of the most significant projects and thoughts on materiality from the last decade. Beautifully illustrated with a great deal of technical information throughout, it shows work, technical technique and process, and positions it within a broader theoretical intention. By assembling a range of voices, here is a multifaceted portrait of material design today. Students and design professionals alike should find in this book an essential resource for understanding this increasingly important aspect of design.
A Matter of Appearance: A Memoir
by Emily WellsA dazzling memoir of chronic illness that explores the fraught intersection between pain, language, and gender, by a debut author.Emily Wells spent her childhood dancing through intense pain she assumed was normal for a ballerina pushing her body to its limits. For years, no doctor could tell Wells what was wrong with her, or they told her it was all in her head.In A Matter of Appearance, Wells traces her journey as she tries to understand and define the chronic pain she has lived with all her life. She draws on the critical works of Freud, Sontag, and others to explore the intersection between gender, pain, and language, and she traces a direct line from the &“hysteria patients&” at the Salpêtrière Hospital in nineteenth-century Paris to the contemporary New Age healers in Los Angeles, her stomping ground. At the crux of Wells&’ literary project is the dilemma of how to diagnose an experience that is both private and public, subjective and quantifiable, and how to express all this in words.&“Gorgeously written and brilliantly argued, A Matter of Appearance uses chronic illness as a lever to investigate the life of a body. It&’s complex, inconclusive, and incredibly clear-eyed. Moving fluidly between histories of psychoanalysis, desire, ambition, pathology, Wells reminds us of the liminal state we all live in between sickness and health.&”—Chris Kraus, author of Aliens & Anorexia and Summer of Hate
The Matter of Images: Essays on Representations
by Richard DyerNow published in a revised second edition, The Matter of Images searches through the resonances of the term ‘representation’, analysing images in terms of why they matter, what they are made of, and the material realities they refer to. Richard Dyer’s analyses consider representations of ‘out’ groups and traditionally dominant groups alike, and encompass the eclectic texts of contemporary culture, from queers to straights, political correctness, representations of Empire and films including Gilda, Papillon and The Night of the Living Dead. Essays new to the second edition discuss Lillian Gish as the ultimate white movie star, the representation of whiteness in the South in Birth of a Nation, and society’s fascination with serial killers. The Matter of Images is distinctive in its commitment to writing politically about contemporary culture, while insisting on the importance of understanding the formal qualities and complexity of the images it investigates.
The Matter of Vision: Affective Neurobiology And Cinema
by Peter WyethCinematic analysis has often supported the notion that cinema can be understood by drawing parallels with language. Peter Wyeth contends that this analytical framework often fails to consider the fundamental fact of cinema's visual nature. In The Matter of Vision, Wyeth seeks to redress this oversight by grounding his analysis in neuroscience and evolutionary biology, finding herein the potential for a qualitatively superior understanding of the cinematic medium.
Mattering Spiritualities: Performative Experiments for a Radical Imagining of the World Becoming (Routledge Advances in Theatre & Performance Studies)
by Silvia Battista David MasonMattering Spiritualities brings together an array of international scholars and practitioners to explore spirituality in embodiment through the lens of performance, performative writing, and performance studies.The book concerns spirituality and takes the body as the site of whatever it is we call spirituality. The methodological assumption is that the opposition of body and spirit is a false binary that calls for re-examination and revision. It stems from the argument that people can deliberately shift their boundaries of perception and knowing through practice, technologies and performative techniques that can alter the way in which they perceive the ecologies in which they are embedded. This approach understands that careful attention to which bodies are performing in any given scenario is crucial, as is a sensitivity to the ramifications of any body’s race, gender, class, and biological ability. Performance can therefore be regarded as anything through which individuals and collectives experiment with bodies as technologies. Each chapter engages with such experiments to explore how bodies experience and relate to other bodies, human and other-than-human, but also how, by mobilizing bodies and changing relationships between them, practitioners can transform people, spaces and places, objects, ecologies large and small, and shift the borders-of-the-known. Such experiments can also reveal intersectional dynamics within given social, political, and biological borders offering new perspectives and angles of analysis.This collection intends to serve transdisciplinary studies and to support varied learning and teaching environments for undergraduate, postgraduate, and PhD students.
Matteson (Images of America)
by Paul W. JaenickeThe village of Matteson was founded in 1855 and named after the 10th governor of Illinois, Joel Matteson. German immigrants were the area's first settlers, seeking agriculture and business opportunities. The Illinois Central and Michigan Central Railroads provided the stimulus for the growth of one of the first communities to the south of Chicago. The area became popular in the 1890s, when Chicago residents rode special trains to visit the amusement park run by Moses and Freeman Elliott. By the mid-20th century, the town had established itself as a growing bedroom community due to the electrification of the Illinois Central suburban service in 1926 and an increase in residential housing designed for American GIs returning home after World War II. Transportation has always played a key role in the development of the village, which sits at the crossroads of America's first land grant railroad, the Illinois Central, and the country's first transcontinental road, the Lincoln Highway. Since the 1970s, Matteson has grown intoa vibrant retail and commercial area for Chicago's south suburbs.