[orx-mesh, orx-mesh-noise] Add orx-mesh-noise

orx-mesh-noise/build.gradle.kts

@@ -0,0 +1,28 @@
+plugins {
+    org.openrndr.extra.convention.`kotlin-multiplatform`
+}
+
+kotlin {
+    sourceSets {
+        val commonMain by getting {
+            dependencies {
+                api(libs.openrndr.application)
+                api(libs.openrndr.math)
+                api(libs.openrndr.shape)
+                api(project(":orx-mesh"))
+            }
+        }
+
+        val jvmDemo by getting {
+            dependencies {
+                api(libs.openrndr.shape)
+                implementation(project(":orx-shapes"))
+                implementation(project(":orx-mesh"))
+                implementation(project(":orx-mesh-generators"))
+                implementation(project(":orx-obj-loader"))
+                implementation(project(":orx-noise"))
+                implementation(project(":orx-camera"))
+            }
+        }
+    }
+}

orx-mesh-noise/src/commonMain/kotlin/MeshNoise.kt

@@ -0,0 +1,65 @@
+package org.openrndr.extra.mesh.noise
+
+import org.openrndr.extra.mesh.IIndexedPolygon
+import org.openrndr.extra.mesh.IMeshData
+import org.openrndr.extra.mesh.IVertexData
+import org.openrndr.math.Vector3
+import kotlin.math.sqrt
+import kotlin.random.Random
+
+/**
+ * Generate a uniformly distributed barycentric coordinate
+ * @param random a random number generator
+ */
+fun uniformBarycentric(random: Random = Random.Default): Vector3 {
+    val u = random.nextDouble()
+    val v = random.nextDouble()
+    val su0 = sqrt(u)
+    val b0 = 1.0 - su0
+    val b1 = v * su0
+    return Vector3(b0, b1, 1.0 - b0 - b1)
+}
+
+/**
+ * Generate a uniformly distributed point that lies inside this [IIndexedPolygon]
+ * @param vertexData vertex data used to resolve positions
+ * @param random a random number generator
+ */
+fun IIndexedPolygon.uniform(vertexData: IVertexData, random: Random = Random.Default): Vector3 {
+    require(positions.size == 3) { "polygon must be a triangle"}
+
+    val x = vertexData.positions.slice(positions)
+    val b = uniformBarycentric(random)
+    return x[0] * b.x + x[1] * b.y + x[2] * b.z
+}
+
+internal fun IIndexedPolygon.area(vertexData: IVertexData): Double {
+    require(positions.size == 3) { "polygon must be a triangle"}
+    val x = vertexData.positions.slice(positions)
+    val u = x[1] - x[0]
+    val v = x[2] - x[0]
+    return u.areaBetween(v) / 2.0
+}
+
+/**
+ * Generate points on the surface described by the mesh data
+ */
+fun IMeshData.uniform(count: Int, random: Random = Random.Default): List<Vector3> {
+    val triangulated = triangulate()
+    val result = mutableListOf<Vector3>()
+    val totalArea = triangulated.polygons.sumOf { it.area(vertexData) }
+    val randoms = (0 until count).map {
+        random.nextDouble(totalArea)
+    }.sorted()
+
+    var idx = 0
+    var sum = 0.0
+    for (t in triangulated.polygons) {
+        sum += t.area(vertexData)
+        while (idx <= randoms.lastIndex && sum > randoms[idx]) {
+            result.add(t.uniform(vertexData, random))
+            idx++
+        }
+    }
+    return result
+}

orx-mesh-noise/src/jvmDemo/kotlin/DemoMeshNoise01.kt

@@ -0,0 +1,43 @@
+import org.openrndr.application
+import org.openrndr.draw.DrawPrimitive
+import org.openrndr.draw.isolated
+import org.openrndr.draw.shadeStyle
+import org.openrndr.extra.camera.Orbital
+import org.openrndr.extra.mesh.loadOBJMeshData
+import org.openrndr.extra.mesh.noise.uniform
+import org.openrndr.extra.meshgenerators.sphereMesh
+import org.openrndr.math.Vector3
+import java.io.File
+import kotlin.random.Random
+
+/**
+ * Demonstrate uniform point on mesh generation
+ */
+fun main() {
+    application {
+        configure {
+            width = 720
+            height = 720
+        }
+        program {
+            val mesh = loadOBJMeshData(File("demo-data/obj-models/suzanne/Suzanne.obj")).toMeshData()
+            val points = mesh.uniform(1000, Random(0))
+
+            val sphere = sphereMesh(radius = 0.1)
+            extend(Orbital()) {
+                eye = Vector3(0.0, 0.0, 2.0)
+            }
+            extend {
+                drawer.shadeStyle = shadeStyle {
+                    fragmentTransform = "x_fill = vec4(v_viewNormal*0.5+0.5, 1.0);"
+                }
+                for (point in points) {
+                    drawer.isolated {
+                        drawer.translate(point)
+                        drawer.vertexBuffer(sphere, DrawPrimitive.TRIANGLES)
+                    }
+                }
+            }
+        }
+    }
+}

orx-mesh/src/commonMain/kotlin/CompoundMeshData.kt

@@ -1,4 +1,4 @@
-package org.openrndr.extra.objloader
+package org.openrndr.extra.mesh
 
 /**
  * Compound mesh data interface
@@ -8,6 +8,8 @@ interface ICompoundMeshData {
     val compounds: Map<String, IMeshData>
 
     fun triangulate(): ICompoundMeshData
+
+    fun toMeshData(): IMeshData
 }
 
 class CompoundMeshData(
@@ -15,15 +17,15 @@ class CompoundMeshData(
     override val compounds: Map<String, MeshData>
 ) : ICompoundMeshData {
 
-    init {
-        
-    }
-
     override fun triangulate(): CompoundMeshData {
         return CompoundMeshData(vertexData, compounds.mapValues {
             it.value.triangulate()
         })
     }
+
+    override fun toMeshData(): MeshData {
+        return MeshData(vertexData, compounds.values.flatMap { it.polygons })
+    }
 }
 
 class MutableCompoundMeshData(
@@ -36,6 +38,11 @@ class MutableCompoundMeshData(
             vertexData,
             compounds.mapValues {
                 it.value.triangulate()
-            }.toMutableMap())
+            }.toMutableMap()
+        )
+    }
+
+    override fun toMeshData(): IMeshData {
+        return MutableMeshData(vertexData, compounds.values.flatMap { it.polygons }.toMutableList())
     }
 }

orx-mesh/src/commonMain/kotlin/CompoundMeshDataExtensions.kt

@@ -1,4 +1,4 @@
-package org.openrndr.extra.objloader
+package org.openrndr.extra.mesh
 
 import org.openrndr.draw.VertexBuffer
 import org.openrndr.draw.vertexBuffer

orx-mesh/src/commonMain/kotlin/IndexedPolygon.kt

@@ -1,4 +1,4 @@
-package org.openrndr.extra.objloader
+package org.openrndr.extra.mesh
 
 import org.openrndr.math.Matrix44
 import org.openrndr.math.Vector2

orx-mesh/src/commonMain/kotlin/MeshData.kt

@@ -1,4 +1,4 @@
-package org.openrndr.extra.objloader
+package org.openrndr.extra.mesh
 
 import kotlin.jvm.JvmRecord
 
@@ -21,7 +21,10 @@ data class MeshData(
     override val polygons: List<IndexedPolygon>,
 ) : IMeshData {
     override fun triangulate(): MeshData {
-        return copy(polygons = polygons.flatMap { polygon -> polygon.triangulate(vertexData) })
+        return if (isTriangular()) {
+            this
+        } else
+            copy(polygons = polygons.flatMap { polygon -> polygon.triangulate(vertexData) })
     }
 
     override fun toPolygons(): List<Polygon> {
@@ -40,7 +43,11 @@ data class MutableMeshData(
     override val polygons: MutableList<IndexedPolygon>
 ) : IMeshData {
     override fun triangulate(): MutableMeshData {
-        return copy(polygons = polygons.flatMap { it.triangulate(vertexData) }.toMutableList())
+        return if (isTriangular()) {
+            this
+        } else {
+            copy(polygons = polygons.flatMap { it.triangulate(vertexData) }.toMutableList())
+        }
     }
 
     override fun toPolygons(): List<Polygon> {

orx-mesh/src/commonMain/kotlin/MeshDataExtensions.kt

@@ -1,4 +1,4 @@
-package org.openrndr.extra.objloader
+package org.openrndr.extra.mesh
 
 import org.openrndr.color.ColorRGBa
 import org.openrndr.draw.VertexBuffer
@@ -18,7 +18,14 @@ internal val objVertexFormat = vertexFormat {
 }
 
 /**
- * Converts a [MeshData] instance into a [VertexBuffer]
+ * Determine if [IMeshData] is triangular by checking if each polygon has exactly 3 vertices
+ */
+fun IMeshData.isTriangular(): Boolean {
+    return polygons.all { it.positions.size == 3 }
+}
+
+/**
+ * Convert a [MeshData] instance into a [VertexBuffer]
  */
 fun IMeshData.toVertexBuffer(elementOffset: Int = 0, vertexBuffer: VertexBuffer? = null): VertexBuffer {
     val objects = triangulate().toPolygons()

orx-mesh/src/commonMain/kotlin/Polygon.kt

@@ -1,4 +1,4 @@
-package org.openrndr.extra.objloader
+package org.openrndr.extra.mesh
 
 import org.openrndr.color.ColorRGBa
 import org.openrndr.math.Matrix44

orx-mesh/src/commonMain/kotlin/VertexData.kt

@@ -1,4 +1,4 @@
-package org.openrndr.extra.objloader
+package org.openrndr.extra.mesh
 
 import org.openrndr.color.ColorRGBa
 import org.openrndr.math.Vector2

orx-mesh/src/commonMain/kotlin/Wireframe.kt

@@ -1,4 +1,4 @@
-package org.openrndr.extra.objloader
+package org.openrndr.extra.mesh
 
 import org.openrndr.math.Vector3
 

orx-mesh/src/jvmMain/kotlin/VertexBufferExtensions.kt

@@ -1,7 +1,9 @@
+package org.openrndr.extra.mesh
+
 import org.openrndr.color.ColorRGBa
 import org.openrndr.draw.VertexBuffer
-import org.openrndr.extra.objloader.Polygon
-import org.openrndr.extra.objloader.objVertexFormat
+import org.openrndr.extra.mesh.Polygon
+import org.openrndr.extra.mesh.objVertexFormat
 import org.openrndr.math.Vector2
 import org.openrndr.math.Vector3
 import java.nio.ByteBuffer

orx-obj-loader/src/commonMain/kotlin/ObjReader.kt

@@ -1,4 +1,4 @@
-package org.openrndr.extra.objloader
+package org.openrndr.extra.mesh
 
 import org.openrndr.color.ColorRGBa
 import org.openrndr.draw.VertexBuffer

orx-obj-loader/src/commonMain/kotlin/ObjWriter.kt

@@ -1,4 +1,4 @@
-package org.openrndr.extra.objloader
+package org.openrndr.extra.mesh
 
 /**
  * Convert mesh data to Wavefront OBJ representation

orx-obj-loader/src/jvmDemo/kotlin/DemoObjCompoundRW01.kt

@@ -1,6 +1,6 @@
 import org.openrndr.application
-import org.openrndr.extra.objloader.loadOBJMeshData
-import org.openrndr.extra.objloader.toObj
+import org.openrndr.extra.mesh.loadOBJMeshData
+import org.openrndr.extra.mesh.toObj
 import java.io.File
 
 fun main() {

orx-obj-loader/src/jvmDemo/kotlin/DemoObjLoader01.kt

@@ -3,7 +3,7 @@ import org.openrndr.color.ColorRGBa
 import org.openrndr.draw.DepthTestPass
 import org.openrndr.draw.DrawPrimitive
 import org.openrndr.draw.shadeStyle
-import org.openrndr.extra.objloader.loadOBJasVertexBuffer
+import org.openrndr.extra.mesh.loadOBJasVertexBuffer
 import org.openrndr.math.Vector3
 
 fun main() = application {

orx-obj-loader/src/jvmDemo/kotlin/DemoObjSaver01.kt

@@ -1,7 +1,7 @@
 import org.openrndr.application
 import org.openrndr.draw.loadFont
-import org.openrndr.extra.objloader.loadOBJasVertexBuffer
-import org.openrndr.extra.objloader.saveOBJ
+import org.openrndr.extra.mesh.loadOBJasVertexBuffer
+import org.openrndr.extra.mesh.saveOBJ
 
 fun main() = application {
     configure {

orx-obj-loader/src/jvmDemo/kotlin/DemoObjSaver02.kt

@@ -2,7 +2,7 @@ import org.openrndr.application
 import org.openrndr.draw.loadFont
 import org.openrndr.extra.meshgenerators.buildTriangleMesh
 import org.openrndr.extra.meshgenerators.sphere
-import org.openrndr.extra.objloader.saveOBJ
+import org.openrndr.extra.mesh.saveOBJ
 
 fun main() = application {
     configure {

orx-obj-loader/src/jvmDemo/kotlin/DemoWireframe01.kt

@@ -8,9 +8,9 @@ import org.openrndr.draw.DrawPrimitive
 import org.openrndr.draw.TransformTarget
 import org.openrndr.draw.shadeStyle
 import org.openrndr.extra.camera.Orbital
-import org.openrndr.extra.objloader.readObjMeshData
-import org.openrndr.extra.objloader.loadOBJasVertexBuffer
-import org.openrndr.extra.objloader.wireframe
+import org.openrndr.extra.mesh.readObjMeshData
+import org.openrndr.extra.mesh.loadOBJasVertexBuffer
+import org.openrndr.extra.mesh.wireframe
 import org.openrndr.math.Vector3
 import org.openrndr.shape.Path3D
 import java.io.File

orx-obj-loader/src/jvmMain/kotlin/OBJLoader.kt

@@ -1,4 +1,4 @@
-package org.openrndr.extra.objloader
+package org.openrndr.extra.mesh
 
 import org.openrndr.draw.VertexBuffer
 import java.io.File

orx-obj-loader/src/jvmMain/kotlin/OBJSaver.kt

@@ -1,4 +1,4 @@
-package org.openrndr.extra.objloader
+package org.openrndr.extra.mesh
 
 import org.openrndr.draw.VertexBuffer
 import java.io.File

settings.gradle.kts

@@ -48,6 +48,7 @@ include(
         "orx-jvm:orx-keyframer",
         "orx-mesh",
         "orx-mesh-generators",
+        "orx-mesh-noise",
         "orx-jvm:orx-minim",
         "orx-jvm:orx-kotlin-parser",
         "orx-jvm:orx-midi",