Medical Imaging Interaction Toolkit
2024.12.99-0da743f6
Medical Imaging Interaction Toolkit
mitkFresnel.h
Go to the documentation of this file.
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/*============================================================================
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The Medical Imaging Interaction Toolkit (MITK)
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Copyright (c) German Cancer Research Center (DKFZ)
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All rights reserved.
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Use of this source code is governed by a 3-clause BSD license that can be
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found in the LICENSE file.
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============================================================================*/
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#ifndef mitkFresnel_h
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#define mitkFresnel_h
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/****************************************************************************
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* fresnel.h -
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* Calculation of Fresnel integrals by expansion to Chebyshev series
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* Expansions are taken from the book
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* Y.L. Luke. Mathematical functions and their approximations.
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* Ìoscow, "Mir", 1980. PP. 145-149 (Russian edition)
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****************************************************************************
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*/
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namespace
mitk
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{
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/* fresnel_c(x) - Fresnel Cosine Integral
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* C(x)=fresnel_c(x)=\dint\limits_{0}^{x}\cos (\frac{\pi}{2}t^{2})dt
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*/
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double
fresnel_c
(
double
x);
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/* fresnel_s(x) - Fresnel Sine Integral
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* S(x)=fresnel_s(x)=\dint\limits_{0}^{x}\sin (\frac{\pi}{2}t^{2})dt
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*/
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double
fresnel_s
(
double
x);
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/* Additional functions*/
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/* fresnel_c2(x)
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* fresnel_c2(x)=fresnel_c(x*sqrt(2/pi))=
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* = \sqrt{\frac{2}{\pi }}\dint\limits_{0}^{x}\cos (t^{2})dt
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*/
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double
fresnel_c2
(
double
x);
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/* fresnel_s2(x)
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* fresnel_s2(x)=fresnel_s(x*sqrt(2/pi))=
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* = \sqrt{\frac{2}{\pi }}\dint\limits_{0}^{x}\sin (t^{2})dt
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*/
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double
fresnel_s2
(
double
x);
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}
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#endif
mitk::fresnel_c
double fresnel_c(double x)
mitk
Find image slices visible on a given plane.
Definition:
RenderingTests.dox:1
mitk::fresnel_s2
double fresnel_s2(double x)
mitk::fresnel_c2
double fresnel_c2(double x)
mitk::fresnel_s
double fresnel_s(double x)
src
MITK
Modules
ModelFit
include
mitkFresnel.h
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