mesh-tool: mesht - create/inspect/edit OBJ+STL with ASCII multi-view rendering

- OBJ read/write (multi-object, ngon fan-triangulation, negative indices),
  STL binary+ascii with auto-detect and vertex welding
- info: bbox/size/area/volume + watertightness via edge manifold stats
- view: z-buffered orthographic ASCII renders (front/side/top/iso/back)
- transform: center/mirror/scale/rotate/translate/fit, per-object filter,
  winding auto-flip on negative determinant
- create: box/sphere/cylinder/cone/plane/torus; merge; convert
- go tests: primitive volumes vs analytic values, roundtrips, topology

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01MmdG9GqfSWCzts7AkDwRDh

mesh-tool/mesh/measure.go

@@ -0,0 +1,59 @@
+package mesh
+
+import "math"
+
+// BBox returns the axis-aligned bounding box of the mesh.
+func (m *Mesh) BBox() (min, max Vec3) {
+	if len(m.Verts) == 0 {
+		return Vec3{}, Vec3{}
+	}
+	min, max = m.Verts[0], m.Verts[0]
+	for _, v := range m.Verts[1:] {
+		min = min.Min(v)
+		max = max.Max(v)
+	}
+	return
+}
+
+// SurfaceArea sums the area of all triangles.
+func (m *Mesh) SurfaceArea() float64 {
+	sum := 0.0
+	for _, t := range m.Tris {
+		a, b, c := m.Verts[t[0]], m.Verts[t[1]], m.Verts[t[2]]
+		sum += b.Sub(a).Cross(c.Sub(a)).Len() / 2
+	}
+	return sum
+}
+
+// SignedVolume computes the enclosed volume via the divergence theorem.
+// Only meaningful for closed meshes; positive when windings face outward.
+func (m *Mesh) SignedVolume() float64 {
+	sum := 0.0
+	for _, t := range m.Tris {
+		a, b, c := m.Verts[t[0]], m.Verts[t[1]], m.Verts[t[2]]
+		sum += a.Dot(b.Cross(c))
+	}
+	return sum / 6
+}
+
+// Volume is the absolute enclosed volume.
+func (m *Mesh) Volume() float64 { return math.Abs(m.SignedVolume()) }
+
+// SceneBBox returns the bounding box over the given meshes.
+func SceneBBox(meshes []*Mesh) (min, max Vec3) {
+	first := true
+	for _, m := range meshes {
+		if len(m.Verts) == 0 {
+			continue
+		}
+		mn, mx := m.BBox()
+		if first {
+			min, max = mn, mx
+			first = false
+		} else {
+			min = min.Min(mn)
+			max = max.Max(mx)
+		}
+	}
+	return
+}