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

Fractal art(ists)

What is fractal art? To answer this question we have interviewed a number of prominent fractal artists, asking questions about their art, view of the world, career, and about relationships between fractals and reality

Evaluating the Historical Accuracy of Blackwork Embroidery with Fractal Analysis

The intricate monochromatic embroidery that graced the collars and cuffs of Renaissance nobility and domestic materials from that era has been little studied beyond the historical costuming and crafting communities. This style, known as blackwork, for it was traditionally done in black silk on white linen, exemplifies how complex and visually-appealing designs can arise from repetition of simple forms, often demonstrating the fractal property of self-similarity. Though most blackwork patterns are not true fractals, fractal analysis offers a means of objectively quantifying their complexity and new lens through which to examine this embroidery technique. The purpose of this study was to look for trends that could be used to evaluate the historical accuracy of blackwork patterns. Images of historical patterns from the Renaissance period, historically-inspired, and modern patterns were gathered from eight published books on blackwork. The fractal dimensions of these patterns were calculated using FracLac, a fractal analysis plugin for the ImageJ software. Subsequent statistical analyses revealed several significant differences between the fractal dimensions of patterns for fillings, borders, and complete projects. Though there was some variation, a trend noted was that Renaissance-era patterns had a fractal dimension around 1.75

デジタルデザイン教育における中国の伝統的パターン要素の統合発展に関する研究

Cultural dissemination and artistic heritage represent a highly concentrated database of information in the past, which depends not only on the expansion of emerging digital media but also on the transformation of language and knowledge. Digital design with traditional patterns as elements is a continuous process from creative generation, material selection, and model establishment. The whole process is done based on the digital design course. The author conducts research from three aspects: theoretical knowledge, course operation exercises and after-school questionnaires, which is a process of integrating technology and art. The purpose of this course is not to discover new theories or new technologies, but to provide morphological possibilities for cultural symbols under existing digital technologies. The purpose is to try to construct new ideas and innovative digital technologies for traditional Chinese patterns, to find Possible paths for the inheritance of new traditional culture.北九州市立大

Point and Line to Plane

"Point and Line to Plane" is an 18-minute short film which depicts the psychosis that can arise when an individual attempts to extract meaning from an intense loss. Stemming from Joan Didion and Sigmund Freuds theories of "magical thinking", the film investigates the phenomenon of mental free association and irrationality endured when grieving a loved one. In 2018, I was suspended in a deep state of shock after the passing of a long-time friend and collaborator named Giacomo Grisanzio. "Point and Line to Plane" is a communion of my own journey to process, heal and document my own period of mourning and my experience of magical thinking

ON THE NATURE OF FIELDWORK A COMPOSER'S INTERDISCIPLINARY THEORY AND PRACTICE

The following text serves to accompany a body of practical work in music (composing) and mark-making. The two elements, when taken together, are an illustration of the role which certain types of fieldwork developed by the author may offer the composer if adopted into the process of acoustic invention. The introduction sets forth the conditions in which such an approach to the relationship between the natural, the sonic and the visual becomes relevant and important. Ideas of interconnectivity are introduced and terms are defined. Chapter two deals with the ideas of connecting patterns and sets of relationships in more detail, exploring the concepts of implicate order and recurring natural patterns. In chapter three we enter into discussion of fieldwork as a practice, encompassing theory and practical application. Chapters four to seven concern themselves with the analysis of the compositions borne of the fieldwork in question, and enter into more detail about any fieldwork specific to the pieces themselves. The relationships between the pages of sketches and the written music is considered here from the musical point of view. Finally, chapter eight acts as a brief conclusion to the study, in which we not only consider the results of the application of the fieldwork practice but also seek to identify which paths the continuation of this practice would benefit from and where we might take this work in the future

Pattern, the visual mathematics: A search for logical connections in design through mathematics, science, and multicultural arts

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Procedural Generation of Aesthetic Patterns from Dynamics and Iteration Processes

Aesthetic patterns are widely used nowadays, e.g., in jewellery design, carpet design, as textures and patterns on wallpapers, etc. Most of the work during the design stage is carried out by a designer manually. Therefore, it is highly useful to develop methods for aesthetic pattern generation. In this paper, we present methods for generating aesthetic patterns using the dynamics of a discrete dynamical system. The presented methods are based on the use of various iteration processes from fixed point theory (Mann, S, Noor, etc.) and the application of an affine combination of these iterations. Moreover, we propose new convergence tests that enrich the obtained patterns. The proposed methods generate patterns in a procedural way and can be easily implemented on the GPU. The presented examples show that using the proposed methods we are able to obtain a variety of interesting patterns. Moreover, the numerical examples show that the use of the GPU implementation with shaders allows the generation of patterns in real time and the speed-up (compared with a CPU implementation) ranges from about 1000 to 2500 times