Toon/Basic Outline with alpha mask texture

Unity Engine
1

Hi all, a few of my characters have hair textures that are just flat poly’s with alpha masks on them.
With unity’s toon shader, there are black shapes outlining certain parts of the mesh for the mentioned. Is there any way to modify these so I can add a texture image and have parts of the outline masked out?

I’ve tried tinkering with it a bit, but I have no expertise on shaders at all and it wound up being even more broken.

Thanks very much in advance!

Shader "Toon/Basic Outline"
{
    Properties
    {
        _OutlineColor ("Outline Color", Color) = (0,0,0,1)
        _Outline ("Outline width", Range (.002, 0.03)) = .005
    }
    SubShader
    {
        Tags { "RenderType"="Opaque" }
       
        Cull Front
        ZWrite On
        ColorMask RGB
        Blend SrcAlpha OneMinusSrcAlpha
       
        Pass
        {
            Name "OUTLINE"
           
            HLSLPROGRAM
            #include "Packages/com.unity.render-pipelines.lightweight/ShaderLibrary/Core.hlsl"
           
            #pragma vertex vert
            #pragma fragment frag
            #pragma multi_compile_fog
           
            CBUFFER_START(UnityPerMaterial)
            float _Outline;
            float4 _OutlineColor;
            CBUFFER_END
           
            struct Attributes
            {
                float4 positionOS : POSITION;
                float3 normalOS : NORMAL;
            };
       
            struct Varyings
            {
                float4 positionCS : SV_POSITION;
                half fogCoord : TEXCOORD0;
                half4 color : COLOR;
            };
           
            Varyings vert(Attributes input)
            {
                Varyings output = (Varyings)0;
               
                input.positionOS.xyz += input.normalOS.xyz * _Outline;
               
                VertexPositionInputs vertexInput = GetVertexPositionInputs(input.positionOS.xyz);
                output.positionCS = vertexInput.positionCS;
               
                output.color = _OutlineColor;
                output.fogCoord = ComputeFogFactor(output.positionCS.z);
                return output;
            }
           
            half4 frag(Varyings i) : SV_Target
            {
                i.color.rgb = MixFog(i.color.rgb, i.fogCoord);
                return i.color;
            }
            ENDHLSL
        }
    }
}
2

Not really, no. That style of outline shader relies heavily on the surface geometry and normals. While you can have the outline clip too, it may not show as an outline in the clipped areas. You may be better off not using outlines on those parts of the character, and maybe just paint the outlines into the texture.