منابع مشابه
Applications of minor summation formula III, Plücker relations, lattice paths and Pfaffian identities
The initial purpose of the present paper is to provide a combinatorial proof of the minor summation formula of Pfaffians in [8] based on the lattice path method. The second aim is to study applications of the minor summation formula for obtaining several identities. Especially, a simple proof of Kawanaka’s formula concerning a q-series identity involving Schur functions [15] and of the identity...
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Cyclic orbit codes are a family of constant dimension codes used for random network coding. We investigate the Plücker embedding of these codes and show how to efficiently compute the Grassmann coordinates of the code words.
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One of the important potential applications of computational geometry is in the field of computer graphics. One challenging computational problem in computer graphics is that of rendering scenes with nearly photographic realism. A major distinction in lighting and shading models in computer graphics is between local illumination models and global illumination models. Local illumination models a...
متن کاملCamera Pose Estimation from Lines using Plücker Coordinates
Correspondences between 3D lines and their 2D images captured by a camera are often used to determine position and orientation of the camera in space. In this work, we propose a novel algebraic algorithm to estimate the camera pose. We parameterize 3D lines using Plücker coordinates that allow linear projection of the lines into the image. A line projection matrix is estimated using Linear Leas...
متن کاملPlücker correction problem: Analysis and improvements in efficiency
A given six dimensional vector represents a 3D straight line in Plücker coordinates if its coordinates satisfy the Klein quadric constraint. In many problems aiming to find the Plücker coordinates of lines, noise in the data and other type of errors contribute for obtaining 6D vectors that do not correspond to lines, because of that constraint. A common procedure to overcome this drawback is to...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1979
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11811