Fractal Image Editing with PhotoFrac

In this paper, we describe the development and use of PhotoFrac, an application that allows artists and designers to turn digital images into fractal patterns interactively. Fractal equations are a rich source of procedural texture and detail, but controlling the patterns and incorporating traditional media has been difficult. Additionally, the iterative nature of fractal calculations makes implementation of interactive techniques on mobile devices and web apps challenging. We overcome these problems by using an image coordinate based orbit trapping technique that permits a user-selected image to be embedded into the fractal. Performance challenges are addressed by exploiting the processing power of graphic processing unit (GPU) and precomputing some intermediate results for use on mobile devices. This paper presents results and qualitative analyses of the tool by four artists (the authors) who used the PhotoFrac application to create new artworks from original digital images. The final results demonstrate a fusion of traditional media with algorithmic art

Procedural Generation of Artistic Patterns Using a Modified Orbit Trap Method

In the literature, we can find various methods for generating artistic patterns. One of the methods is the orbit trap method. In this paper, we propose various modifications of a variant of the orbit trap method that generates patterns with wallpaper symmetry. The first modification relies on replacing the Picard iteration (used in the original method) with the S-iteration known from the fixed point theory. Moreover, we extend the parameters in the S-iteration from scalar to vector ones. In the second modification, we replace the Euclidean metric used in the orbit traps with other metrics. Finally, we propose three new orbit traps. The presented examples show that using the proposed method, we are able to obtain a great variety of interesting patterns. Moreover, we show that a proper selection of the orbit traps and the mapping used by the method can lead to patterns that possess a local fractal structure.Natural Science Foundation of China grant number 6206204

Fractal Patterns from the Dynamics of Combined Polynomial Root Finding Methods

Fractal patterns generated in the complex plane by root finding methods are well known in the literature. In the generation methods of these fractals only one root finding method is used. In this paper, we propose the use of a combination of root finding methods in the generation of fractal patterns. We use three approaches to combine the methods: (1) the use of different combinations, e.g. affine and s-convex combination, (2) the use of iteration processes from fixed point theory, (3) multistep polynomiography. All the proposed approaches allow us to obtain new and diverse fractal patterns that can be used, for instance, as textile or ceramics patterns. Moreover, we study the proposed methods using five different measures: average number of iterations, convergence area index, generation time, fractal dimension and Wada measure. The computational experiments show that the dependence of the measures on the parameters used in the methods is in most cases a non-trivial, complex and non-monotonic function

Corner detection algorithm based on euclidean distance

拐点是数字图像中的一个重要信息载体,提出一种新的拐点检测算法,该算法并非寻找连续空间中曲率的离散近似计算方法,而是源于离散曲线的外观特征,推导出离散曲线上拐点处k个点对间欧氏距离平方和局部最小这一重要性质。基于该性质,本算法首先利用Freeman链码的性质过滤掉物体边界上明显不可能成为拐点的象素,然后在剩余的边界点中通过寻找该局部最小值定位出拐点。给出了本算法与四种著名拐点检测算法的对比实验。Corners are important information carriers in computer vision. A new algorithm was presented here to detect corners on contour in digital image. This algorithm was not going to search another way to approximately calculate the curvature of points on curves,which was defined in continuous domain,but utilized the character of corners in digital nature that the square sum of k Euclidean distance between points pair centered at a corner is locally lowest. Derived from this character,the new algorithm detected corners in a two-pass manner. First pass was to filter the points on a curve that obviously can not be corners by using Freeman chain-code. Second pass was to detect the locations of local minima of the square sum of Euclidean distance. Tests comparing the new algorithm to four famous algorithms were given

A Geography of Strangeness: Transcultural Personhood and Fractal Identity in Contemporary South Asian Muslim American Literature

This dissertation carries out an epistemic inquiry of identity in South Asian Muslim American literature published in the twenty-first century. The selection of works analyzed includes five novels, two poetry collections, one memoir, and one collection of short stories, representing different narrative forms and styles by eight South Asian Muslim American writers. The authors have been selected for their work on the themes of displacement, identity, intergenerational conflict, gender, and religion, to highlight the transcultural nature of the literary works and present the fractal nature of the identity of literary characters and their discursive imaginations. The chosen literary publications examine a range of identity theory concepts coupled with the material and philosophical realities of the late modern world such as globalization, digital transformation, timespace compression, structuration, and reflexivity. Each author’s work is analyzed for the South Asian Muslim American diaspora’s response to the transformations, contradictions, and challenges confronting contemporary Islam as it moves forward in the twenty-first century. Far from normalizing the identity of these diasporic individuals, the focus of this dissertation is to present them as complex adaptive beings possessing and exhibiting fractal identities. Furthermore, by incorporating facets of the Muslim American identity and Islamic identity, which have their unique idiosyncrasies, worldviews, and cultural practices, this study attempts to present a more holistic view of contemporary South Asian Muslim Americans and their fiction. Therefore, the core of this project centers around the effects of displacement on identity formation moving towards an existential model of fractal identities in these transcultural diasporic individuals across generations, genders, and religion, highlighting sociologically and politically relevant themes.Departamento de Filología InglesaDoctorado en Estudios Ingleses Avanzados: Lenguas y Culturas en Contact

Developing a flexible and expressive realtime polyphonic wave terrain synthesis instrument based on a visual and multidimensional methodology

The Jitter extended library for Max/MSP is distributed with a gamut of tools for the generation, processing, storage, and visual display of multidimensional data structures. With additional support for a wide range of media types, and the interaction between these mediums, the environment presents a perfect working ground for Wave Terrain Synthesis. This research details the practical development of a realtime Wave Terrain Synthesis instrument within the Max/MSP programming environment utilizing the Jitter extended library. Various graphical processing routines are explored in relation to their potential use for Wave Terrain Synthesis

2010 GREAT Day Program

SUNY Geneseo’s Fourth Annual GREAT Day. This file has a supplement of three additional pages, linked in this record.https://knightscholar.geneseo.edu/program-2007/1004/thumbnail.jp

A Poetics of Chaos: Schizoanalysis and Post modern American Fiction.

In "A Poetics of Chaos: Schizoanalysis and Postmodern American Fiction," I use theories from physics and psychoanalysis together to explore narrative structures in recent American fiction. Chaos theory, which emerged in mathematical and biological discourses in the 1960s, postulates the intrinsic instability and unpredictability of many natural and physical phenomena. Theorists like Bertalanffy, Mandelbrot and Lorenz produced a vocabulary to account for these pervasive systems. In assessing historical, economic and, indeed, literary systems, we may draw terms from chaotic inquiry: bifurcation, fractal, moebial, reiteration, complexity, butterfly effect, strange attractors, and sensitive dependence upon initial conditions. '"Chaotic narratives*" may explicitly deploy (Barth, Pynchon, Gibson) or inadvertently express (Coover, Ondaatje, Powers) the structural features of chaotic systems. Such writing is characterized by a diffusion of linear chronology, as well as ontological and narrative fracture, repetition and variation. Literary theorists N. Katherine Hayles, Joseph Conte, Hanjo Berressem and others have discussed how chaotic scientific and psycho-social systems are not only invoked in contemporary literature, but are themselves the structural and philosophical underpinnings of postmodern culture. My thesis builds upon chaotic-literary criticism by investigating the psychological implications of "chaotic narratives." Drawing from the anti-deterministic "schizoanalysis" of Gilles Deleuze and Felix Guattari, I explain how writings by Don DeLillo, Paul Auster, David Foster Wallace and Mark Z. Danielewski perform and reflect the "orderly disorder" of psychic development. I advance the term "psychochaotics*' to describe a theoretical approach that uses principles from chaos theory to reveal the psychodynamic systems in postmodern fiction

American Literature and Science

Literature and science are two disciplines are two disciplines often thought to be unrelated, if not actually antagonistic. But Robert J. Scholnick points out that these areas of learning, up through the beginning of the nineteenth century, “were understood as parts of a unitary endeavor.By mid-century they had diverged, but literature and science have continued to interact, conflict, and illuminate each other. In this innovative work, twelve leaders in this emerging interdisciplinary field explore the long engagement of American writers with science and uncover science’s conflicting meanings as a central dimension of the nation’s conception of itself. Reaching back to the Puritan poet-minister-physician Edward Taylor, who wrote at the beginning of the scientific revolution, and forward to Thomas Pynchon, novelist of the cybernetic age, this collection of original essays contains essential work on major writers, including Franklin, Jefferson, Poe, Emerson, Thoreau, Twain, Hart Crane, Dos Passos, and Charles Olson. Through its exploration of the ways that American writers have found in science and technology a vital imaginative stimulus, even while resisting their destructive applications, this book points towards a reconciliation and integration within culture. An innovative look at a neglected dimension of our literary tradition, American Literature and Science stands as both a definition of the field and an invitation to others to continue and extend new modes of inquiry. A thoughtful collection that reveals how the concept of ‘science’ has evolved from Franklin to cyberpunk, and how it has transformed American literary form and expression. —American Literature Innovative. . . . The first systematic examination of this neglected dimension of the American literary tradition. —American Renaissance Literary Reporthttps://uknowledge.uky.edu/upk_english_language_and_literature_north_america/1013/thumbnail.jp

Reading the Texture of Reality : Chaos Theory, Literature and the Humanist Perspective

Tutkimuksessa analysoidaan kaaosteorian vaikutusta kaunokirjallisuudessa ja kirjallisuudentutkimuksessa ja esitetään, että kaaosteorian roolia kirjallisuuden kentällä voidaan parhaiten ymmärtää sen avaamien käsitteiden kautta. Suoran soveltamisen sijaan kaaosteorian avulla on käyty uudenlaisia keskusteluja vanhoista aiheista ja luonnontieteestä ammennetut käsitteet ovat johtaneet aiemmin tukkeutuneiden argumenttien avaamiseen uudesta näkökulmasta käsin. Väitöskirjassa keskitytään kolmeen osa-alueeseen: kaunokirjallisen teoksen rakenteen teoretisointiin, ihmisen (erityisesti tekijän) identiteetin hahmottamiseen ja kuvailemiseen sekä fiktion ja todellisuuden suhteen pohdintaan. Tutkimuksen tarkoituksena on osoittaa, kuinka kaaosteorian kautta näitä aiheita on lähestytty niin kirjallisuustieteessä kuin kaunokirjallisissa teoksissakin. Väitöskirjan keskiössä ovat romaanikirjailija John Barthin, dramatisti Tom Stoppardin ja runoilija Jorie Grahamin teosten analyysit. Nämä kirjailijat ammentavat kaaosteoriasta keinoja käsitteellistää rakenteita, jotka ovat yhtä aikaa dynaamisia prosesseja ja hahmotettavia muotoja. Kaunokirjallisina teemoina nousevat esiin myös ihmisen paradoksaalisesti tunnistettava ja aina muuttuva identiteetti sekä lopullista haltuunottoa pakeneva, mutta silti kiehtova ja tavoiteltava todellisuus. Näiden kirjailijoiden teosten analyysin sekä teoreettisen keskustelun kautta väitöskirjassa tuodaan esiin aiemmassa tutkimuksessa varjoon jäänyt, koherenssia, ymmärrettävyyttä ja realismia painottava humanistinen näkökulma kaaosteorian merkityksestä kirjallisuudessa.Reading the Texture of Reality presents readings of works of fiction, poetry and drama where the concepts developed by chaos theory appear. The study also examines the use of those concepts in literary scholarship and argues that chaos theory is deeply involved in redefining notions central to literary studies, such as literary form, authorial identity and the relation of literature to reality. The study examines the uses of chaos theory in the context of four major theoretical questions: What is literary scholarship and how does it differ from the natural sciences? What is the nature of the literary work and how can it be analysed? What is the relationship between self and other, both in terms of human identity and the different agencies involved in the reading of a literary work? How does the human mind connect to the material universe and how can that universe be represented in literature? All of these questions have been approached by scholars armed with the concepts of chaos theory. The fulcrum of the dissertation is a group of literary works that have clearly been influenced by chaos theory, but which equally clearly fall outside the categories and descriptions suggested by previous theoretical approaches to literature and chaos theory. The emphasis that previous research laid on disorder and uncertainty makes it unable to accommodate works that, while obviously referring to the methods of chaos theory and the systems it studies, also engage the order found in the seemingly complex, the possibility of coherent meaning despite the noise in the message, and the physical reality that lurks behind human sign systems. The discussion focuses on British playwright Tom Stoppard, American novelist John Barth, and American poet Jorie Graham. The issues that their works deal with through chaos theory are similar to those that appear in the works of many of the literary scholars discussed in this study, and thereby make possible a dialogue between literary works and theory. The humanist perspective presented in this study is shown to involve the appreciation of the role of scientific knowledge in culture, the conceptualisation of the literary work as a semi-autonomous and meaningful entity and of human identity as coherence rather than dissolution, as well as the belief that physical reality and embodiment can be represented in literature