Results 261 to 270 of about 355,686 (307)

Radiosity for point-sampled geometry

open access: yes12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings., 2004
In this paper, we propose a radiosity method for the point-sampled geometry to compute diffuse inter reflection of light. Most traditional radiosity methods subdivide the surfaces of objects into small elements such as quadrilaterals. However, the point-sampled geometry includes no explicit information about surfaces, presenting a difficulty in ...
Yoshinori Dobashi   +2 more
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The Geometry of Point Reflections and Quasigroups

Results in Mathematics, 2020
The paper gives a survey of results from the theory of medial and more general quasigroups and its connection with the geometry of point reflections. The geometric theory of point reflections starts with two axiom systems \(\{S1-S4, S5\}\) or \(\{S1-S4, S6\}\) for the universal geometry \(\mathcal{V}\) of the Euclidean operations of point reflection ...
Yuri Movsisyan, Victor Pambuccian
openaire   +1 more source

Detail-generating geometry completion for point-sampled geometry

Machine Vision and Applications, 2013
In this paper, we present a novel method for detail-generating geometry completion over point-sampled geometry. The main idea consists of converting the context-based geometry completion into the detail-based texture completion on the surface. According to the influence region of boundary points surrounding a hole, a smooth patch covering the hole is ...
Renfang Wang   +4 more
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25-Point Geometry

The Mathematical Gazette, 1952
Finite Galois arithmetics are well-known; finite geometries however, though more interesting to the amateur, have not really acquired professional status and do not appear to any great extent in standard works. The following example arose from a chance remark in Mathematics for T. C.
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31-Point Geometry

The Mathematical Gazette, 1955
The following paragraphs have been assembled in consequence of my reading Dr. Cundy’s note on 25-point geometry. Towards the end of it, apparently mindful of the adjunction of a “ line at infinity ” to the Euclidean plane, he adjoins a line to the 25-point plane and so obtains a geometry of 31 points. Here I reverse this procedure :
openaire   +1 more source

Axiomatizability of Geometry without Points

Synthese, 1960
The aim of this paper is to make more precise the well-known conviction that geometry may be built without speaking about points. In the first section we prepare some general syntactical theorems which are needed. In the second section we apply these theorems to a certain theory of topology without points.
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