diff --git a/shaders/reign_shadow.v.glsl b/shaders/reign_shadow.v.glsl
index 6af53c5..9a2729d 100644
--- a/shaders/reign_shadow.v.glsl
+++ b/shaders/reign_shadow.v.glsl
@@ -14,7 +14,7 @@
  * along with this program; if not, see <http://gnu.org/licenses/>.
  */
 
-uniform mat4 world_transform;
+uniform mat4 local_transform;
 uniform mat4 view_transform;
 
 const int MAX_BONES = 308;  // see 3d_internal.h
@@ -29,7 +29,7 @@ in ivec4 vertex_bone_index;
 in vec4 vertex_bone_weight;
 
 void main() {
-	mat4 world_bone_transform = world_transform;
+	mat4 local_bone_transform = local_transform;
 	if (has_bones) {
 		mat4 bone_transform = mat4(0.f);
 		for (int i = 0; i < NR_WEIGHTS; i++) {
@@ -37,8 +37,8 @@ void main() {
 				bone_transform += bone_matrices[vertex_bone_index[i]] * vertex_bone_weight[i];
 			}
 		}
-		world_bone_transform *= bone_transform;
+		local_bone_transform *= bone_transform;
 	}
 
-	gl_Position = view_transform * world_bone_transform * vec4(vertex_pos, 1.0);
+	gl_Position = view_transform * local_bone_transform * vec4(vertex_pos, 1.0);
 }
diff --git a/src/3d/3d_internal.h b/src/3d/3d_internal.h
index 4d13df1..cf8037e 100644
--- a/src/3d/3d_internal.h
+++ b/src/3d/3d_internal.h
@@ -108,7 +108,7 @@ struct shadow_renderer {
 	GLuint texture;
 
 	// Uniform variable locations
-	GLint world_transform;
+	GLint local_transform;
 	GLint view_transform;
 	GLint has_bones;
 };
@@ -119,7 +119,6 @@ struct RE_renderer {
 	struct shadow_renderer shadow;
 
 	// Uniform variable locations
-	GLint world_transform;
 	GLint view_transform;
 	GLint texture;
 	GLint local_transform;
diff --git a/src/3d/renderer.c b/src/3d/renderer.c
index e80d42d..d6a9b50 100644
--- a/src/3d/renderer.c
+++ b/src/3d/renderer.c
@@ -99,7 +99,7 @@ static void init_shadow_renderer(struct shadow_renderer *sr)
 	glGetIntegerv(GL_FRAMEBUFFER_BINDING, &orig_fbo);
 
 	sr->program = load_shader("shaders/reign_shadow.v.glsl", "shaders/reign_shadow.f.glsl");
-	sr->world_transform = glGetUniformLocation(sr->program, "world_transform");
+	sr->local_transform = glGetUniformLocation(sr->program, "local_transform");
 	sr->view_transform = glGetUniformLocation(sr->program, "view_transform");
 	sr->has_bones = glGetUniformLocation(sr->program, "has_bones");
 	GLuint bone_transforms = glGetUniformBlockIndex(sr->program, "BoneTransforms");
@@ -176,7 +176,6 @@ struct RE_renderer *RE_renderer_new(void)
 	struct RE_renderer *r = xcalloc(1, sizeof(struct RE_renderer));
 
 	r->program = load_shader("shaders/reign.v.glsl", "shaders/reign.f.glsl");
-	r->world_transform = glGetUniformLocation(r->program, "world_transform");
 	r->view_transform = glGetUniformLocation(r->program, "view_transform");
 	r->texture = glGetUniformLocation(r->program, "tex");
 	r->local_transform = glGetUniformLocation(r->program, "local_transform");
@@ -729,7 +728,7 @@ static void render_shadow_map(struct RE_plugin *plugin, mat4 light_space_transfo
 		} else {
 			glUniform1i(r->shadow.has_bones, GL_FALSE);
 		}
-		glUniformMatrix4fv(r->shadow.world_transform, 1, GL_FALSE, inst->local_transform[0]);
+		glUniformMatrix4fv(r->shadow.local_transform, 1, GL_FALSE, inst->local_transform[0]);
 		for (int j = 0; j < model->nr_meshes; j++) {
 			struct mesh *mesh = &model->meshes[j];
 			if (mesh->flags & MESH_NOMAKESHADOW)
@@ -975,7 +974,7 @@ struct height_detector *RE_renderer_create_height_detector(struct RE_renderer *r
 	glViewport(0, 0, SHADOW_WIDTH, SHADOW_HEIGHT);
 	glClear(GL_DEPTH_BUFFER_BIT);
 	glUseProgram(r->shadow.program);
-	glUniformMatrix4fv(r->shadow.world_transform, 1, GL_FALSE, view_matrix[0]);
+	glUniformMatrix4fv(r->shadow.local_transform, 1, GL_FALSE, view_matrix[0]);
 	glUniformMatrix4fv(r->shadow.view_transform, 1, GL_FALSE, proj_matrix[0]);
 	glUniform1i(r->shadow.has_bones, GL_FALSE);