diff --git a/Source/Core/OrthographicFrustum.js b/Source/Core/OrthographicFrustum.js
index b2dd5ef7e074..c155db23bfbc 100644
--- a/Source/Core/OrthographicFrustum.js
+++ b/Source/Core/OrthographicFrustum.js
@@ -4,6 +4,7 @@ define([
         './defined',
         './defineProperties',
         './DeveloperError',
+        './Math',
         './OrthographicOffCenterFrustum'
     ], function(
         Check,
@@ -11,6 +12,7 @@ define([
         defined,
         defineProperties,
         DeveloperError,
+        CesiumMath,
         OrthographicOffCenterFrustum) {
     'use strict';
 
@@ -273,5 +275,30 @@ define([
                 this._offCenterFrustum.equals(other._offCenterFrustum));
     };
 
+    /**
+     * Compares the provided OrthographicFrustum componentwise and returns
+     * <code>true</code> if they pass an absolute or relative tolerance test,
+     * <code>false</code> otherwise.
+     *
+     * @param {OrthographicFrustum} [other] The right hand side OrthographicFrustum.
+     * @param {Number} relativeEpsilon The relative epsilon tolerance to use for equality testing.
+     * @param {Number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing.
+     * @returns {Boolean} <code>true</code> if this and other are within the provided epsilon, <code>false</code> otherwise.
+     */
+    OrthographicFrustum.prototype.equalsEpsilon = function(other, relativeEpsilon, absoluteEpsilon) {
+        if (!defined(other) || !(other instanceof OrthographicFrustum)) {
+            return false;
+        }
+
+        update(this);
+        update(other);
+
+        return (CesiumMath.equalsEpsilon(this.width, other.width, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.aspectRatio, other.aspectRatio, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.near, other.near, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.far, other.far, relativeEpsilon, absoluteEpsilon) &&
+                this._offCenterFrustum.equalsEpsilon(other._offCenterFrustum, relativeEpsilon, absoluteEpsilon));
+    };
+
     return OrthographicFrustum;
 });
diff --git a/Source/Core/OrthographicOffCenterFrustum.js b/Source/Core/OrthographicOffCenterFrustum.js
index 09877fba03b2..3e3ff8f8a6dc 100644
--- a/Source/Core/OrthographicOffCenterFrustum.js
+++ b/Source/Core/OrthographicOffCenterFrustum.js
@@ -6,6 +6,7 @@ define([
         './defined',
         './defineProperties',
         './DeveloperError',
+        './Math',
         './Matrix4'
     ], function(
         Cartesian3,
@@ -15,6 +16,7 @@ define([
         defined,
         defineProperties,
         DeveloperError,
+        CesiumMath,
         Matrix4) {
     'use strict';
 
@@ -370,5 +372,27 @@ define([
                 this.far === other.far);
     };
 
+    /**
+     * Compares the provided OrthographicOffCenterFrustum componentwise and returns
+     * <code>true</code> if they pass an absolute or relative tolerance test,
+     * <code>false</code> otherwise.
+     *
+     * @param {OrthographicOffCenterFrustum} [other] The right hand side OrthographicOffCenterFrustum.
+     * @param {Number} relativeEpsilon The relative epsilon tolerance to use for equality testing.
+     * @param {Number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing.
+     * @returns {Boolean} <code>true</code> if this and other are within the provided epsilon, <code>false</code> otherwise.
+     */
+    OrthographicOffCenterFrustum.prototype.equalsEpsilon = function(other, relativeEpsilon, absoluteEpsilon) {
+        return (other === this) ||
+               (defined(other) &&
+                other instanceof OrthographicOffCenterFrustum &&
+                CesiumMath.equalsEpsilon(this.right, other.right, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.left, other.left, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.top, other.top, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.bottom, other.bottom, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.near, other.near, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.far, other.far, relativeEpsilon, absoluteEpsilon));
+    };
+
     return OrthographicOffCenterFrustum;
 });
diff --git a/Source/Core/PerspectiveFrustum.js b/Source/Core/PerspectiveFrustum.js
index 3186170bbd77..719677c8ca81 100644
--- a/Source/Core/PerspectiveFrustum.js
+++ b/Source/Core/PerspectiveFrustum.js
@@ -4,6 +4,7 @@ define([
         './defined',
         './defineProperties',
         './DeveloperError',
+        './Math',
         './PerspectiveOffCenterFrustum'
     ], function(
         Check,
@@ -11,6 +12,7 @@ define([
         defined,
         defineProperties,
         DeveloperError,
+        CesiumMath,
         PerspectiveOffCenterFrustum) {
     'use strict';
 
@@ -368,5 +370,30 @@ define([
                 this._offCenterFrustum.equals(other._offCenterFrustum));
     };
 
+    /**
+     * Compares the provided PerspectiveFrustum componentwise and returns
+     * <code>true</code> if they pass an absolute or relative tolerance test,
+     * <code>false</code> otherwise.
+     *
+     * @param {PerspectiveFrustum} [other] The right hand side PerspectiveFrustum.
+     * @param {Number} relativeEpsilon The relative epsilon tolerance to use for equality testing.
+     * @param {Number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing.
+     * @returns {Boolean} <code>true</code> if this and other are within the provided epsilon, <code>false</code> otherwise.
+     */
+    PerspectiveFrustum.prototype.equalsEpsilon = function(other, relativeEpsilon, absoluteEpsilon) {
+        if (!defined(other) || !(other instanceof PerspectiveFrustum)) {
+            return false;
+        }
+
+        update(this);
+        update(other);
+
+        return (CesiumMath.equalsEpsilon(this.fov, other.fov, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.aspectRatio, other.aspectRatio, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.near, other.near, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.far, other.far, relativeEpsilon, absoluteEpsilon) &&
+                this._offCenterFrustum.equalsEpsilon(other._offCenterFrustum, relativeEpsilon, absoluteEpsilon));
+    };
+
     return PerspectiveFrustum;
 });
diff --git a/Source/Core/PerspectiveOffCenterFrustum.js b/Source/Core/PerspectiveOffCenterFrustum.js
index 30319a5b2556..2e8fad7f0aca 100644
--- a/Source/Core/PerspectiveOffCenterFrustum.js
+++ b/Source/Core/PerspectiveOffCenterFrustum.js
@@ -6,6 +6,7 @@ define([
         './defined',
         './defineProperties',
         './DeveloperError',
+        './Math',
         './Matrix4'
     ], function(
         Cartesian3,
@@ -15,6 +16,7 @@ define([
         defined,
         defineProperties,
         DeveloperError,
+        CesiumMath,
         Matrix4) {
     'use strict';
 
@@ -421,5 +423,27 @@ define([
                 this.far === other.far);
     };
 
+    /**
+     * Compares the provided PerspectiveOffCenterFrustum componentwise and returns
+     * <code>true</code> if they pass an absolute or relative tolerance test,
+     * <code>false</code> otherwise.
+     *
+     * @param {PerspectiveOffCenterFrustum} [other] The right hand side PerspectiveOffCenterFrustum.
+     * @param {Number} relativeEpsilon The relative epsilon tolerance to use for equality testing.
+     * @param {Number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing.
+     * @returns {Boolean} <code>true</code> if this and other are within the provided epsilon, <code>false</code> otherwise.
+     */
+    PerspectiveOffCenterFrustum.prototype.equalsEpsilon = function(other, relativeEpsilon, absoluteEpsilon) {
+        return (other === this) ||
+               (defined(other) &&
+                other instanceof PerspectiveOffCenterFrustum &&
+                CesiumMath.equalsEpsilon(this.right, other.right, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.left, other.left, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.top, other.top, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.bottom, other.bottom, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.near, other.near, relativeEpsilon, absoluteEpsilon) &&
+                CesiumMath.equalsEpsilon(this.far, other.far, relativeEpsilon, absoluteEpsilon));
+    };
+
     return PerspectiveOffCenterFrustum;
 });
diff --git a/Specs/Core/OrthographicFrustumSpec.js b/Specs/Core/OrthographicFrustumSpec.js
index 4ac99bd4e0ec..19128d920b8f 100644
--- a/Specs/Core/OrthographicFrustumSpec.js
+++ b/Specs/Core/OrthographicFrustumSpec.js
@@ -175,6 +175,42 @@ defineSuite([
         expect(pixelSize.y).toEqual(2.0);
     });
 
+    it('equals', function() {
+        var frustum2 = new OrthographicFrustum();
+        frustum2.near = 1.0;
+        frustum2.far = 3.0;
+        frustum2.width = 2.0;
+        frustum2.aspectRatio = 1.0;
+        expect(frustum.equals(frustum2)).toEqual(true);
+    });
+
+    it('equals epsilon', function() {
+        var frustum2 = new OrthographicFrustum();
+        frustum2.near = 1.0;
+        frustum2.far = 3.0;
+        frustum2.width = 2.0;
+        frustum2.aspectRatio = 1.0;
+        expect(frustum.equalsEpsilon(frustum2, CesiumMath.EPSILON7)).toEqual(true);
+
+        var frustum3 = new OrthographicFrustum();
+        frustum3.near = 1.01;
+        frustum3.far = 3.01;
+        frustum3.width = 2.01;
+        frustum3.aspectRatio = 1.01;
+        expect(frustum.equalsEpsilon(frustum3, CesiumMath.EPSILON1)).toEqual(true);
+
+        var frustum4 = new OrthographicFrustum();
+        frustum4.near = 1.0;
+        frustum4.far = 3.0;
+        frustum4.width = 2.0;
+        frustum4.aspectRatio = 1.1;
+        expect(frustum.equalsEpsilon(frustum4, CesiumMath.EPSILON2)).toEqual(false);
+    });
+
+    fit('equals undefined', function() {
+        expect(frustum.equals()).toEqual(false);
+    });
+
     it('throws with undefined frustum parameters', function() {
         var frustum = new OrthographicFrustum();
         expect(function() {
diff --git a/Specs/Core/OrthographicOffCenterFrustumSpec.js b/Specs/Core/OrthographicOffCenterFrustumSpec.js
index a81c88f087dc..856ac0dcc121 100644
--- a/Specs/Core/OrthographicOffCenterFrustumSpec.js
+++ b/Specs/Core/OrthographicOffCenterFrustumSpec.js
@@ -176,6 +176,51 @@ defineSuite([
         expect(pixelSize.y).toEqual(2.0);
     });
 
+    it('equals', function() {
+        var frustum2 = new OrthographicOffCenterFrustum();
+        frustum2.near = 1.0;
+        frustum2.far = 3.0;
+        frustum2.right = 1.0;
+        frustum2.left = -1.0;
+        frustum2.top = 1.0;
+        frustum2.bottom = -1.0;
+
+        expect(frustum).toEqual(frustum2);
+    });
+
+    it('equals epsilon', function() {
+        var frustum2 = new OrthographicOffCenterFrustum();
+        frustum2.near = 1.0;
+        frustum2.far = 3.0;
+        frustum2.right = 1.0;
+        frustum2.left = -1.0;
+        frustum2.top = 1.0;
+        frustum2.bottom = -1.0;
+        expect(frustum.equalsEpsilon(frustum2, CesiumMath.EPSILON7)).toEqual(true);
+
+        var frustum3 = new OrthographicOffCenterFrustum();
+        frustum3.near = 1.01;
+        frustum3.far = 2.98;
+        frustum3.right = 1.02;
+        frustum3.left = -0.99;
+        frustum3.top = 0.99;
+        frustum3.bottom = -1.05;
+        expect(frustum.equalsEpsilon(frustum3, CesiumMath.EPSILON1)).toEqual(true);
+
+        var frustum4 = new OrthographicOffCenterFrustum();
+        frustum4.near = 1.1;
+        frustum4.far = 2.9;
+        frustum4.right = 0.0;
+        frustum4.left = -1.02;
+        frustum4.top = 1.02;
+        frustum4.bottom = -1.005;
+        expect(frustum.equalsEpsilon(frustum4, CesiumMath.EPSILON2)).toEqual(false);
+    });
+
+    it('equals undefined', function() {
+        expect(frustum.equals()).toEqual(false);
+    });
+
     it('throws with undefined frustum parameters', function() {
         var frustum = new OrthographicOffCenterFrustum();
         expect(function() {
diff --git a/Specs/Core/PerspectiveFrustumSpec.js b/Specs/Core/PerspectiveFrustumSpec.js
index 7682b09d6ffc..4ec7d5a17f64 100644
--- a/Specs/Core/PerspectiveFrustumSpec.js
+++ b/Specs/Core/PerspectiveFrustumSpec.js
@@ -180,6 +180,29 @@ defineSuite([
         expect(frustum.equals(frustum2)).toEqual(true);
     });
 
+    it('equals epsilon', function() {
+        var frustum2 = new PerspectiveFrustum();
+        frustum2.near = 1.0;
+        frustum2.far = 2.0;
+        frustum2.fov = (Math.PI) / 3.0;
+        frustum2.aspectRatio = 1.0;
+        expect(frustum.equalsEpsilon(frustum2, CesiumMath.EPSILON7)).toEqual(true);
+
+        var frustum3 = new PerspectiveFrustum();
+        frustum3.near = 1.01;
+        frustum3.far = 2.01;
+        frustum3.fov = ((Math.PI) / 3.0) + 0.01;
+        frustum3.aspectRatio = 1.01;
+        expect(frustum.equalsEpsilon(frustum3, CesiumMath.EPSILON1)).toEqual(true);
+
+        var frustum4 = new PerspectiveFrustum();
+        frustum4.near = 1.0;
+        frustum4.far = 2.0;
+        frustum4.fov = (Math.PI) / 3.0;
+        frustum4.aspectRatio = 1.1;
+        expect(frustum.equalsEpsilon(frustum4, CesiumMath.EPSILON2)).toEqual(false);
+    });
+
     it('equals undefined', function() {
         expect(frustum.equals()).toEqual(false);
     });
diff --git a/Specs/Core/PerspectiveOffCenterFrustumSpec.js b/Specs/Core/PerspectiveOffCenterFrustumSpec.js
index 937f0d2a499f..39d49da802c7 100644
--- a/Specs/Core/PerspectiveOffCenterFrustumSpec.js
+++ b/Specs/Core/PerspectiveOffCenterFrustumSpec.js
@@ -195,6 +195,39 @@ defineSuite([
         expect(frustum).toEqual(frustum2);
     });
 
+    it('equals epsilon', function() {
+        var frustum2 = new PerspectiveOffCenterFrustum();
+        frustum2.right = 1.0;
+        frustum2.left = -frustum.right;
+        frustum2.top = 1.0;
+        frustum2.bottom = -frustum.top;
+        frustum2.near = 1.0;
+        frustum2.far = 2.0;
+        expect(frustum.equalsEpsilon(frustum2, CesiumMath.EPSILON7)).toEqual(true);
+
+        var frustum3 = new PerspectiveOffCenterFrustum();
+        frustum3.right = 1.01;
+        frustum3.left = -frustum.right;
+        frustum3.top = 1.01;
+        frustum3.bottom = -frustum.top;
+        frustum3.near = 1.01;
+        frustum3.far = 1.99;
+        expect(frustum.equalsEpsilon(frustum3, CesiumMath.EPSILON1)).toEqual(true);
+
+        var frustum4 = new PerspectiveOffCenterFrustum();
+        frustum4.right = 1.1;
+        frustum4.left = -frustum.right;
+        frustum4.top = 1.0;
+        frustum4.bottom = -frustum.top;
+        frustum4.near = 1.0;
+        frustum4.far = 2.0;
+        expect(frustum.equalsEpsilon(frustum4, CesiumMath.EPSILON2)).toEqual(false);
+    });
+
+    it('equals undefined', function() {
+        expect(frustum.equals()).toEqual(false);
+    });
+
     it('throws with undefined frustum parameters', function() {
         var frustum = new PerspectiveOffCenterFrustum();
         expect(function() {