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POCartesian to Polar (3d coordinates)
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10868135
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2012-06-03T05:33:05.747
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2018-02-19T14:17:52.153
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2012-06-12T09:24:07.080
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Body
How do you convert between Cartesian and Polar (and back) coordinate systems in 3D space? Preferably with a c# example but anything would really be appreciated. Thanks! Edit When 20% of the change is taken into account (not forming a sphere) <img src="https://i.stack.imgur.com/DdgoM.png" alt="enter image description here"> Edit 2 <pre><code>private void Spherise() { for (int i = 0; i < vertices.Count; i++) { float radius = this.radius; float longitude = 0; float latitude = 0; float sphereRadius = 32; Color color = vertices[i].Color; ToPolar(vertices[i].Position - centre, out radius, out longitude, out latitude); Vector3 position = ToCartesian(sphereRadius, longitude, latitude) + centre; Vector3 normal = vertices[i].Position - centre; normal.Normalize(); const float lerpAmount = 0.6f; Vector3 lerp = (position - vertices[i].Position) * lerpAmount + vertices[i].Position; vertices[i] = new VertexPositionColorNormal(lerp, color, normal); } } private void ToPolar(Vector3 cart, out float radius, out float longitude, out float latitude) { radius = (float)Math.Sqrt((double)(cart.X * cart.X + cart.Y * cart.Y + cart.Z * cart.Z)); longitude = (float)Math.Acos(cart.X / Math.Sqrt(cart.X * cart.X + cart.Y * cart.Y)) * (cart.Y < 0 ? -1 : 1); latitude = (float)Math.Acos(cart.Z / radius) * (cart.Z < 0 ? -1 : 1); } private Vector3 ToCartesian(float radius, float longitude, float latitude) { float x = radius * (float)(Math.Sin(latitude) * Math.Cos(longitude)); float y = radius * (float)(Math.Sin(latitude) * Math.Sin(longitude)); float z = radius * (float)Math.Cos(latitude); return new Vector3(x, y, z); } </code></pre> <img src="https://i.stack.imgur.com/1Hsax.png" alt="enter image description here">
Tags
<c#><xna><cartesian><polar-coordinates>
Title
Cartesian to Polar (3d coordinates)
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