applications of Multivariate Calculus in computer science
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I am currently studying Multivariate Calculus (Larson and Edwards book). I want to do a project in computer science to see some nice applications of things I am learning. Any specific source of papers/journals/books? thanks
multivariable-calculus applications
asked Feb 21 '16 at 7:23
user304876
59116
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I am currently studying Multivariate Calculus (Larson and Edwards book). I want to do a project in computer science to see some nice applications of things I am learning. Any specific source of papers/journals/books? thanks
multivariable-calculus applications
asked Feb 21 '16 at 7:23
user304876
59116
You could go the opposite direction and think about the CS behind software to graph such equations. But I come bearing no references...
– pjs36
Feb 21 '16 at 7:36
I think multivariable calculus is need in computer graphics. This is based on a quote from one of the creators of "bug's life" in a multi book I read once as "wishing they knew more vector calc."
– qbert
Jan 9 at 1:06
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I am currently studying Multivariate Calculus (Larson and Edwards book). I want to do a project in computer science to see some nice applications of things I am learning. Any specific source of papers/journals/books? thanks
multivariable-calculus applications
asked Feb 21 '16 at 7:23
user304876
59116
I am currently studying Multivariate Calculus (Larson and Edwards book). I want to do a project in computer science to see some nice applications of things I am learning. Any specific source of papers/journals/books? thanks
multivariable-calculus applications
multivariable-calculus applications
asked Feb 21 '16 at 7:23
user304876
59116
asked Feb 21 '16 at 7:23
user304876
59116
asked Feb 21 '16 at 7:23
user304876
59116
asked Feb 21 '16 at 7:23
user304876
59116
asked Feb 21 '16 at 7:23
user304876
59116
59116
You could go the opposite direction and think about the CS behind software to graph such equations. But I come bearing no references...
– pjs36
Feb 21 '16 at 7:36
I think multivariable calculus is need in computer graphics. This is based on a quote from one of the creators of "bug's life" in a multi book I read once as "wishing they knew more vector calc."
– qbert
Jan 9 at 1:06
add a comment |
You could go the opposite direction and think about the CS behind software to graph such equations. But I come bearing no references...
– pjs36
Feb 21 '16 at 7:36
I think multivariable calculus is need in computer graphics. This is based on a quote from one of the creators of "bug's life" in a multi book I read once as "wishing they knew more vector calc."
– qbert
Jan 9 at 1:06
You could go the opposite direction and think about the CS behind software to graph such equations. But I come bearing no references...
– pjs36
Feb 21 '16 at 7:36
You could go the opposite direction and think about the CS behind software to graph such equations. But I come bearing no references...
– pjs36
Feb 21 '16 at 7:36
I think multivariable calculus is need in computer graphics. This is based on a quote from one of the creators of "bug's life" in a multi book I read once as "wishing they knew more vector calc."
– qbert
Jan 9 at 1:06
I think multivariable calculus is need in computer graphics. This is based on a quote from one of the creators of "bug's life" in a multi book I read once as "wishing they knew more vector calc."
– qbert
Jan 9 at 1:06
add a comment |
2 Answers
2
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0
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I don't know Larson and Edwards' book, but I assume you have learned about partial derivatives, and therefore could understand simple differential geometry of surfaces (Gaussian curvature, etc). If so, write a little graphics app that lets you study the shapes of surfaces. You can create color-coded pictures where the colors indicate the slope of the surface, or various kinds of curvature. Functions like this are used in computer-aided design to judge the quality of surfaces prior to the start of manufacturing.
See this paper, especially Figure 21.
answered Feb 21 '16 at 7:58
bubba
29.5k32985
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0
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I highly recommend the book Numerical Algorithms by Justin Solomon (available online) which treats this topic thoroughly.
For instance the Back Propagation algorithm for training artificial neural networks. Mesh parameterization (e.g. texture mapping), mesh deformation, and in general, the whole Polygon Mesh Processing field, computer vision, machine learning and more.
answered Jan 8 at 23:46
Mauricio Cele Lopez Belon
56748
add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
I don't know Larson and Edwards' book, but I assume you have learned about partial derivatives, and therefore could understand simple differential geometry of surfaces (Gaussian curvature, etc). If so, write a little graphics app that lets you study the shapes of surfaces. You can create color-coded pictures where the colors indicate the slope of the surface, or various kinds of curvature. Functions like this are used in computer-aided design to judge the quality of surfaces prior to the start of manufacturing.
See this paper, especially Figure 21.
answered Feb 21 '16 at 7:58
bubba
29.5k32985
add a comment |
up vote
0
down vote
I don't know Larson and Edwards' book, but I assume you have learned about partial derivatives, and therefore could understand simple differential geometry of surfaces (Gaussian curvature, etc). If so, write a little graphics app that lets you study the shapes of surfaces. You can create color-coded pictures where the colors indicate the slope of the surface, or various kinds of curvature. Functions like this are used in computer-aided design to judge the quality of surfaces prior to the start of manufacturing.
See this paper, especially Figure 21.
answered Feb 21 '16 at 7:58
bubba
29.5k32985
add a comment |
up vote
0
down vote
up vote
0
down vote
I don't know Larson and Edwards' book, but I assume you have learned about partial derivatives, and therefore could understand simple differential geometry of surfaces (Gaussian curvature, etc). If so, write a little graphics app that lets you study the shapes of surfaces. You can create color-coded pictures where the colors indicate the slope of the surface, or various kinds of curvature. Functions like this are used in computer-aided design to judge the quality of surfaces prior to the start of manufacturing.
See this paper, especially Figure 21.
answered Feb 21 '16 at 7:58
bubba
29.5k32985
I don't know Larson and Edwards' book, but I assume you have learned about partial derivatives, and therefore could understand simple differential geometry of surfaces (Gaussian curvature, etc). If so, write a little graphics app that lets you study the shapes of surfaces. You can create color-coded pictures where the colors indicate the slope of the surface, or various kinds of curvature. Functions like this are used in computer-aided design to judge the quality of surfaces prior to the start of manufacturing.
See this paper, especially Figure 21.
answered Feb 21 '16 at 7:58
bubba
29.5k32985
answered Feb 21 '16 at 7:58
bubba
29.5k32985
answered Feb 21 '16 at 7:58
bubba
29.5k32985
answered Feb 21 '16 at 7:58
bubba
29.5k32985
29.5k32985
add a comment |
add a comment |
up vote
0
down vote
I highly recommend the book Numerical Algorithms by Justin Solomon (available online) which treats this topic thoroughly.
For instance the Back Propagation algorithm for training artificial neural networks. Mesh parameterization (e.g. texture mapping), mesh deformation, and in general, the whole Polygon Mesh Processing field, computer vision, machine learning and more.
answered Jan 8 at 23:46
Mauricio Cele Lopez Belon
56748
add a comment |
up vote
0
down vote
I highly recommend the book Numerical Algorithms by Justin Solomon (available online) which treats this topic thoroughly.
For instance the Back Propagation algorithm for training artificial neural networks. Mesh parameterization (e.g. texture mapping), mesh deformation, and in general, the whole Polygon Mesh Processing field, computer vision, machine learning and more.
answered Jan 8 at 23:46
Mauricio Cele Lopez Belon
56748
add a comment |
up vote
0
down vote
up vote
0
down vote
I highly recommend the book Numerical Algorithms by Justin Solomon (available online) which treats this topic thoroughly.
For instance the Back Propagation algorithm for training artificial neural networks. Mesh parameterization (e.g. texture mapping), mesh deformation, and in general, the whole Polygon Mesh Processing field, computer vision, machine learning and more.
answered Jan 8 at 23:46
Mauricio Cele Lopez Belon
56748
I highly recommend the book Numerical Algorithms by Justin Solomon (available online) which treats this topic thoroughly.
For instance the Back Propagation algorithm for training artificial neural networks. Mesh parameterization (e.g. texture mapping), mesh deformation, and in general, the whole Polygon Mesh Processing field, computer vision, machine learning and more.
answered Jan 8 at 23:46
Mauricio Cele Lopez Belon
56748
answered Jan 8 at 23:46
Mauricio Cele Lopez Belon
56748
answered Jan 8 at 23:46
Mauricio Cele Lopez Belon
56748
answered Jan 8 at 23:46
Mauricio Cele Lopez Belon
56748
56748
add a comment |
add a comment |
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You could go the opposite direction and think about the CS behind software to graph such equations. But I come bearing no references...
– pjs36
Feb 21 '16 at 7:36
I think multivariable calculus is need in computer graphics. This is based on a quote from one of the creators of "bug's life" in a multi book I read once as "wishing they knew more vector calc."
– qbert
Jan 9 at 1:06