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66 919 (0,138s)

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Rational hypersurfaces with rational convolutions

that the convolution surfaces of non-developable quadratic Bézier surfaces and an arbitrary rational surface are always rational. parametrized hypersurfaces which admit rational convolutions generally, or...

BA - Obecná matematika

  • 2007
  • Jx
Result

PN surfaces and their convolutions with rational surfaces

of convolution surfaces. The connection of SRC PN parameterizations to the well known to their RC properties (Rational Convolutions) with the help of the Gr"{o}bner bases which providea rational description of convolut...

BA - Obecná matematika

  • 2008
  • Jx
Result

Parametrized hypersurfaces and their RC properties

The aim of this article is to focus on the investigation of such parametrized curves and surfaces which admit rational convolution (RC) generally, or in some special cases. Examples of such curves and surfaces will be prese...

BA - Obecná matematika

  • 2006
  • D
Result

Curves with low convolution degree

Convolutions of hypersurfaces (especially of curves and surfaces) find many applications in geometric modelling, now. The convolution degree is a geometric invariant of convolution. In this article, we study plane ...

BA - Obecná matematika

  • 2009
  • D
Result

Algebraic Curves of Low Convolution Degree

Studying convolutions of hypersurfaces (especially of curves and surfaces) has the point of view of convolutions is their convolution degree, which is an affine with respect to the operation of convolution...

BA - Obecná matematika

  • 2012
  • Jx
  • Link
Result

Reparameterization of Curves and Surfaces with Respect to Their Convolution

Given two parametric planar curves or surfaces we find their new parameterizations (which we call coherent) permitting to compute their convolution by simply adding the points with the same parameter values. Several approaches based...

BA - Obecná matematika

  • 2010
  • Jx
Result

Convolutional neural networks for road surface classification on aerial imagery

influenced by their surface. Yet, research on automated road surface classification from of chosen convolutional neural networks (fully convolutional network (FCN), U-Net, SegNet, DeepLabv3+) on this task. We find...

Earth and related environmental sciences

  • 2024
  • Jimp
  • Link
Result

Computing Convolutions and Minkowski sums via Support Functions

The convolution of two simple closed oriented curves or surfaces, which is closely related to theMinkowski sum of the domains bounded by them, can be computed with the help of support functions. Based on the approximation of the sup...

BA - Obecná matematika

  • 2007
  • D
Result

Exploring hypersurfaces with offset-like convolutions

to (not only parameterized) hypersurfaces as convolutions with hyperspheres. In other words, we study hypersurfaces sharing the same convolution properties with hyperspheres and thus yielding offset-like convolutions. We w...

BA - Obecná matematika

  • 2012
  • Jx
  • Link
Result

Precise cancer detection via the combination of functionalized SERS surfaces and convolutional neural network with independent inputs

Combining the advanced approaches of surface functionalization and chemistry, plasmonics, surface enhanced Raman spectroscopy (SERS), and machine learning, we propose and underlying periodical plasmonic surface and achieves...

Materials engineering

  • 2020
  • Jimp
  • Link
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