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Digital geometry may not be discrete
Computer Vision, Graphics, and Image Processing, 1988Abstract As is often done in set theory we identify sets with their characteristics functions. A consistent use of functional notations in digital geometry has a few distinct advantages over the conventional approach: digital geometry is truly imbedded into the customary topology, e.g., digital images, being sets in themselves, all have continuous ...
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An efficient VLSI architecture for digital geometry
Proceedings of IEEE International Conference on Application Specific Array Processors (ASSAP'94), 2002The main contribution of this work is to show that a number of fundamental digital geometry tasks can be solved fast on a novel VLSI architecture obtained by augmenting the mesh with multiple broadcast architecture (MMB) with precharged 1-bit row and column buses.
Rong Lin +2 more
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Cell complexes, oriented matroids and digital geometry
Theoretical Computer Science, 2003 Abstract cell complexes (ACCs) were introduced by Kovalevsky as a means of solving certain connectivity paradoxes in graph-theoretic digital topology, and to this extent provide an improved theoretical basis for image analysis. In this work we argue that
Webster, Julian
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A note on “Distance functions in digital geometry”
Information Sciences, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inter-diagrammatic Reasoning and Digital Geometry
2004In this paper we examine inter-diagrammatic reasoning (IDR) as a framework for digital geometry. We show how IDR can be used to represent digital geometry in two dimensions, as well as providing a concise language for specifying algorithms. As an example, we specify algorithms and examine the algorithmic complexity of using IDR for reasoning about the ...
Robert McCartney +1 more
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Aspects of digital evolution: Geometry and learning
1998In this paper we present a new chromosome representation for evolving digital circuits. The representation is based very closely on the chip architecture of the Xilinx 6216 FPGA. We examine the effectiveness of evolving circuit functionality by using randomly chosen examples taken from the truth table.
Julian F. Miller, Peter Thomson
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Shape and Geometry in the Integrated Digital Survey
2015The study of the shape in the architectural survey is the principal goal of the surveyor. Any shape is based on stringent geometric rules that the current digital methods of data acquisition don't detect directly. The basic element in the integrated digital survey is today the point that must to be processed, automatically or manually, to generate a 3D
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Efficient Spot Welding Sequence Optimization in a Geometry Assurance Digital Twin
Journal of Mechanical Design, Transactions of the ASME, 2020Roham Sadeghi Tabar +2 more
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