Results 21 to 30 of about 114,704 (258)
Edgewise subdivision of a simplex [PDF]
The main result of the paper is that, for every positive integer \(k\), every \(d\)-dimensional simplex can be decomposed into \(k^d\) simplices of dimension \(d\), all of the same volume and shape characteristics. The approach is based on an algebraic description of a simplex.
Herbert Edelsbrunner, Daniel R. Grayson
openaire +4 more sources
Globally, rangelands are undergoing rapid social-ecological changes, yet the scale of these changes is rarely measured. Fencing, sedentarization, and land conversion limit access by wildlife and livestock to vital resources such as water and seasonal ...
Peter Tyrrell +15 more
doaj +1 more source
Barycentric subdivisions [PDF]
A characterization is given of simplicial polytopes that are barycentric subdivisions of regular CW spheres. It is shown that barycentric subdivisions of connected polyhedral complexes with at least two facets determine the underlying complex uniquely up to duality. Connections with the algorithmic theory of comparability graphs are discussed.
openaire +2 more sources
Numerous studies have shown the importance of metrical structure on beat perception and sensorimotor synchronization (SMS), which indicates why metrical structure has evolved as a widespread musical element.
Takahide Etani +5 more
doaj +1 more source
Analyzing midpoint subdivision [PDF]
Midpoint subdivision generalizes the Lane-Riesenfeld algorithm for uniform tensor product splines and can also be applied to non regular meshes. For example, midpoint subdivision of degree 2 is a specific Doo-Sabin algorithm and midpoint subdivision of degree 3 is a specific Catmull-Clark algorithm.
Prautzsch, Hartmut, Chen, Qi
openaire +4 more sources
I was pleased to see Mr. Cockerell's article on this subject in the September number of the Canadian Entomologist, and hope we may hear from others on the question. It seems to me that a genus should, as far as possible, represent a natural division of a group of plants or animals so distinct from other groups that the species forming the genus are ...
openaire +1 more source
Subdivision surface simplification [PDF]
A modified quadric error metric (QEM) for simplification of Loop subdivision surfaces is presented The suggested error metric not only measures the geometric difference but also controls the smoothness and well-shapedness of the triangles that result from the decimation process.
Won-Ki Jeong +2 more
openaire +2 more sources
Multiple-Function Systems Based on Regular Subdivision
Self-similar fractals can be generated using subdivision and the subdivision curves/surfaces are actually attractors. Such a connection has been studied between fractals and an extended family of subdivision including stationary and non-stationary ...
Baoxing Zhang +2 more
doaj +1 more source
Accuracy and safety of tablet subdivision
Introduction Tablet subdivision is a common practice among patients and doctors. Tablets can be divided into smaller parts to obtain the desired dose and adjust this dose to the actual needs of the patient.
Michał Meisner +3 more
doaj +1 more source

